Assessment
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Group B4
Home Lesson Evaluation Summary Blog Games Links About Us
• 15 questions was included in this evaluation • Explosion Sound indicates your answer is wrong • Applause Sound indicates your answer is correct
Group B4
Question 1 Home Lesson Evaluation Summary
In a box, there are red and green marbles. A marble is drawn at random from the box. Determine which of the following outcomes is a possible outcome.
Blog
A
Games
B
Links
C
About Us
D
Only a red marble is drawn Only a green marble is drawn A red marble or a green marble is drawn A yellow marble is drawn lide S t s Fir
Last
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n o i t a lan
Group B4
Question 2 Home Lesson Evaluation
A tetrahedral dice numbered 1 to 4 is thrown on a table. The number on the face of the dice is recorded. List all the possible outcomes.
Summary Blog
A
{1, 2, 3}
Games
B
{2, 3, 4}
Links
C
{1, 2, 3, 4}
About Us
D
{1, 2, 3, 4, 5,} lide S t s Fir
Last
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n o i t a lan
Group B4
Question 3 Home Lesson Evaluation
In an experiment, a letter is chosen from the word ‘FRACTION’. The sample space of the experiment is
Summary Blog
A
Games
B
Links
C
About Us
D
{F, R, A, C, T, I,O} {F, R, A, C, T, I, O, N} {F, R, A, C, T, I, O, N, E} Ø lide S t s Fir
Last
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n o i t a lan
Group B4
Question 4 Home Lesson Evaluation
A letter is chosen at random from the word ‘SINGAPORE’. If a consonant is chosen, what are the elements of the sample space?
Summary Blog
A
Games
B
Links
C
About Us
D
{I,A,O,E} {I, G, P, E} {S, I, G, O, R} {S, N, G, P, R} lide S t s La
Group B4
Question 5 Home Lesson Evaluation Summary
A two-digit number which is not more than 30 is chosen at random. List the elements of the sample space which satisfy the condition of a perfect square is chosen.
Blog
A
Games
B
Links
C
About Us
D
{9, 16} {16, 25} {9, 25} {9, 16, 25} lide S t s La
Group B4
Question 6 Home Lesson Evaluation Summary
A coin and a dice are thrown simultaneously. The event A is defined as follow. A = Event of obtaining a ‘heads’ from the coin and an even number from the dice Let H = {Head} and T = {Tail} List the elements of the event A.
Blog Games
A
A = {(H, 1), (H, 3), (H, 5) }
Links
B
A = {(H, 2), (H, 4), (H, 6) }
About Us
C
A = {(T, 1), (T, 3), (T, 5) }
D
A = {(T, 2), (T, 4), (T, 6) } lide S t s La
Group B4
Question 7 Home Lesson Evaluation Summary Blog Games Links About Us
Two dice are thrown simultaneously. The event R is defined as follow. R = Event such that the sum of the numbers from the two dice is more than 12. A
{4, 3}
B
{5, 6}
C
{6, 6}
D
Ø lide S t s La
Group B4
Question 8 Home Lesson Evaluation Summary Blog Games
Three cards, as shown in the above diagram, are put into a box. A card is drawn at random from the box and the letter is recorded. Then the card is put back into the box before another card is drawn at random. This process is repeated 240 times and the results are recorded in the table as shown below. Based on the above table, calculate the probability that a card with the letter ‘E’ is drawn. Outcome Number of occurrences
Links
A
About Us
B C D
E
L
162
78
9/40 13/40 27/40 39/40 ide
Sl t s a L
Group B4
Question 9 Home Lesson Evaluation Summary
In the month of December, 5000 cars were sold. If the probability that a Proton car was sold is 1/5, calculate the number of Proton cars that were sold in that month.
Blog Games Links About Us
A B C D
500 1000 1500 2000 lide S t s La
Group B4
Question 10 Home Lesson Evaluation Summary
In a class, 15 students wear glasses. If a student is randomly chosen from the class, the probability that the student wear the glasses is 1/3. What is the total number of students in the class?
Blog Games Links About Us
A B C D
45 people 50 people 57 people 85 people lide S t s La
Group B4
Question 11 Home Lesson Evaluation Summary
A number is chosen at random from a set of positive integers from 20 to 30 (inclusive of 20 and 30). Calculate the probability that a prime number is chosen.
Blog Games
A
Links
B
About Us
C D
1/11 2/11 3/11 4/11 lide S t s La
Group B4
Question 12 Home Lesson Evaluation Summary Blog Games Links About Us
In a group of 80 students, 50 are boys. A further 10 girls then join the group. If a student is chosen at random from the group, calculate the probability that the student is a girl. A B C D
1/2 1/3 3/8 4/9 lide S t s La
Group B4
Question 13 Home Lesson Evaluation Summary
A bag contains 80 white, green and blue stockings. There are 30 white stockings. If a stocking is picked at random from the bag, the probability of picking a green stocking is 2/5. How many blue stockings are there?
Blog Games Links About Us
A B C D
8 18 28 38 lide S t s La
Group B4
Question 14 Home
The table below shows the distribution of the masses of parcels to be delivered by a courier service company.
Lesson Evaluation Summary Blog Games
Mass (kg)
Number of parcels
1.0 – 1.9
15
2.0 – 2.9
13
3.0 )– 3.9
8
4.0 – 4.9
x
5.0 – 5.9
2
If a parcel is chosen at random, the probability that the parcel has a mass of not less than 3.0 kg is 1/3. Find the value of x.
Links
A
About Us
B C D
4 5 6 7 e
Slid t s a L
Group B4
Question 15 Home
The diagram shows six number cards.
Lesson Evaluation Summary
A card is chosen at random. Find the probability of choosing a multiple of 4.
Blog Games
A
Links
B
About Us
C D
1/6 1/3 1/2 2/3 lide S t s La
Group B4
Home Lesson Evaluation Summary Blog Games Links About Us
The end
Group B4
Question 1 Home Lesson Evaluation Summary Blog Games Links About Us
In a box, there are red and green marbles. A marble is drawn at random from the box. Determine which of the following outcomes is a possible outcome. A
Only a red marble is drawn B Only A yellow marble is not a possible outcome because there a green marble is drawn are no marbles the box. A is red marble and a C yellow A red marble or aingreen marble drawn green marble are possible outcomes because there are D A yellow marble is drawn red and green marbles in the box. lide S t s Fir
Last
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n o i t a lan
Group B4
Question 2 Home Lesson Evaluation
A tetrahedral dice numbered 1 to 4 is thrown on a table. The number on the face of the dice is recorded. List all the possible outcomes.
Summary
{1, 2, 3}
Blog
A
Games
3, 4} BA {2, tetrahedral
Links About Us
dice has four faces. On each of the Cfaces {1, 2,of3,the 4} dice is displayed a whole number, from 1 to 4. Hence, all the possible outcomes are D {1, 2, 3, 4, 5,} 1, 2, 3, and 4. Last
Slide
Exp
n o i t a lan
Group B4
Question 3 Home Lesson Evaluation
In an experiment, a letter is chosen from the word ‘FRACTION’. The sample space of the experiment is
Summary Blog Games Links About Us
{F, R, A, C, T, I,O} BThe {F, sample R, A, C,space T, I, of O,an N}experiment is the set of all possible outcomes of the experiment. So, the C {F, R, A, C, T, I, O, N, E} letters F, R, A, C, T, I, O, N are all the possible Doutcomes Ø from the word ‘FRACTION’. A
lide S t s Fir
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Group B4
Question 4 Home Lesson Evaluation
A letter is chosen at random from the word ‘SINGAPORE’. If a consonant is chosen, what are the elements of the sample space?
Summary Blog
A
Games
B
Links
C
About Us
D
{I,A,O,E} Sample {I, G, P, space E} = {S, I, N, G, A, P, O, R, E} {S, I, G, O, R} So all the possible outcomes for the {S, N, G, P,are R} S, N, G, P, R. consonant lide S t s La
Group B4
Question 5 Home Lesson Evaluation Summary
A two-digit number which is not more than 30 is chosen at random. List the elements of the sample space which satisfy the condition of a perfect square is chosen.
Blog
A
Games
B
Links
C
About Us
D
{9, 16} 9 is only one-digit perfect square which {16, 25} are less than 30. Two-digit perfect {9, 25} squares which are less than 30 are 16 (4 x 4) and 25 (5 x 5). {9, 16, 25} lide S t s La
Group B4
Question 6 Home Lesson Evaluation Summary
A coin and a dice are thrown simultaneously. The event A is defined as follow. A = Event of obtaining a ‘heads’ from the coin and an even number from the dice Let H = {Head} and T = {Tail} The table helpsofusthe listevent the elements of the sample space: List thebelow elements A.
Blog Games
A
A = {(H, 1), (H, 3), (H, 5) }
Links
B
A = {(H, 2), (H, 4), (H, 6) }
About Us
So, the set of outcomes of event A that obtaining a ‘heads’ from the C A = {(T, 1), (T, 3), (T, 5) } coin and an even number from the dice is {(H, 2), (H, 4), (H, 6) } . D
A = {(T, 2), (T, 4), (T, 6) } lide S t s La
Group B4
Question 7 Home Lesson Evaluation Summary Blog Games Links About Us
Two dice are thrown simultaneously. The event R
The table below helps us list the elements of the sample space.
is defined as follow. R = Event such that the sum of the numbers from the two dice is more than 12. A
{4, 3}
B
{5, 6}
C
{6, 6}
So, the setDof Ø outcomes of event R that the sum of the numbers from the two dice is more than 12 is Ø. lide S t s La
Group B4
Question 8 Home Lesson Evaluation Summary Blog Games
Three cards, as shown in the above diagram, are put into a box. A card is drawn at random from the box and the letter is recorded. Then the card is put back into the box before another card is drawn at random. This process is repeated 240 times and the results are recorded in the table as shown on the Probability that abelow. card Based with the above table, calculateletter the probability that a card with the letter ‘E’ is drawn ‘E’ is drawn. Outcome Number of occurrences
Links
A
About Us
B C D
9/40 13/40 27/40 39/40
= P(E) E L = Number of times the letter ‘E’ is 162 78 drawn/Number of trials = 162/240 = 27/40 lide S t s La
Group B4
Question 9 Home Lesson Evaluation Summary Blog Games Links About Us
In the month of December, 5000 cars were sold. If the probability that a Proton car was sold isP(a1/5, calculate Proton car is sold)the number of Proton cars that were = 1/5 sold in that month. Number of Proton cars sold/Total number of cars sold = 1/5 A 500 Number of Proton cars sold/5000 = 1/5 B 1000 So, Number of Proton cars sold = 1/5 x 5000 C 1500 = 1000 D
2000 ide
Sl t s a L
Group B4
Question 10 Home Lesson Evaluation Summary Blog Games Links About Us
In a class, 15 students wear glasses. If a student is randomly chosen from the class, the probability Let that the student wear the glasses is 1/3. What is the total number of students in the class? A B C D
45 people 50 people 57 people Total number of students in the class is 45. 85 people Slid t s a L
e
Group B4
Question 11 Home Lesson Evaluation Summary
A number is chosen at random from a set of positive integers from 20 to 30 (inclusive of 20 and 30). Calculate the probability that a prime number is chosen.
Blog Games Links About Us
A B C D
1/11 2/11 3/11 4/11
Let S = Sample space R = Event that a prime number is chosen S = {20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30} R = {23, 29} So, P(R) = n(R)/n(S) = 2/11 ide
Sl t s a L
Group B4
Question 12 Home Lesson Evaluation Summary Blog Games Links About Us
In a group of 80 students, 50 are boys. A Let further 10 girls Bthen jointhat theagroup. If a student = Event boy is chosen is chosen at random from group, calculate G = Event thatthe a girl is chosen S = Sample space is a girl. the probability that the student A B C D
1/2 1/3 3/8 4/9
n(B) = 50 n(G) = (80 – 50) + 10 = 40 n(S) = 80 + 10 = 90 So, P(G) = n(G)/n(S) = 40/90 = 4/9 ide
Sl t s a L
Group B4
Question 13 Home Lesson Evaluation Summary Blog Games Links About Us
A bag contains 80 white, green and blue stockings. There are 30Let white stockings. If a stocking is S = Sample space picked at random thea white bag,stocking the probability of W = from Event that is picked = Event that aisgreen stocking picking a greenGstocking 2/5. Howis picked many blue B = Event that a blue stocking is picked stockings are there? n(S) = 80 A B C D
8 18 28 38
n(W) = 30 n(G) = P(G) x n(S) = 2/5 x 80 = 32 So, n(B) = n(S) - n(W) - n(G) = 80 – 30 – 32 =18 ide
Sl t s a L
Group B4
Question 14 Home Lesson Evaluation Summary Blog Games Links About Us
The table below showsA the distribution of the masses of parcels = Event of obtaining a parcel that hastoabe delivered by a courier service company. mass of not less than 3.0kg Mass (kg) S = Sample space Number of parcels n(A) = 8 + x + 2 1.0 – 1.9 15 =10 + x 2.0 – 2.9 13 3.0 )– 3.9 n(S) = 15 + 13 + 8 + x + 28 = 38 + x 4.0 – 4.9 x P(A) = 1/3 5.0 – 5.9 2 n(A)/n(S) = 1/3 If a parcel is chosen at(10 random, the+probability + x)/(38 x) = 1/3 that the parcel has a mass of not less than 3.0 kg is 1/3. 3(10 Find + thex)value = 38 of + xx. 30 + 3x = 38 + x A 4 3x – x = 38 – 30 2x = 8 B 5 x=4 C 6 D
7
Group B4
Question 15 The diagram shows six number cards.
Home Lesson Evaluation
A card isLet chosen at random. thethere probability S = Sample spaceFind which are sixof choosing a multiple of 4.
Summary Blog Games Links About Us
1/6 1/3 1/2 2/3
A B C D
1/6 1/3 1/2 2/3
cards A = an event of choosing multiple of 4 which are number 20 and 32. n(A) = 2 and n(S) = 6 P(A) = n(A)/n(S) = 2/6 = 1/3
Home Lesson Evaluation Summary Blog Games Links About Us
• 15 questions was included in this evaluation • Explosion Sound indicates your answer is wrong • Applause Sound indicates your answer is correct
Group B4
Question 1 Home Lesson Evaluation Summary
In a box, there are red and green marbles. A marble is drawn at random from the box. Determine which of the following outcomes is a possible outcome.
Blog
A
Games
B
Links
C
About Us
D
Only a red marble is drawn Only a green marble is drawn A red marble or a green marble is drawn A yellow marble is drawn lide S t s Fir
Last
Slide
Exp
n o i t a lan
Group B4
Question 2 Home Lesson Evaluation
A tetrahedral dice numbered 1 to 4 is thrown on a table. The number on the face of the dice is recorded. List all the possible outcomes.
Summary Blog
A
{1, 2, 3}
Games
B
{2, 3, 4}
Links
C
{1, 2, 3, 4}
About Us
D
{1, 2, 3, 4, 5,} lide S t s Fir
Last
Slide
Exp
n o i t a lan
Group B4
Question 3 Home Lesson Evaluation
In an experiment, a letter is chosen from the word ‘FRACTION’. The sample space of the experiment is
Summary Blog
A
Games
B
Links
C
About Us
D
{F, R, A, C, T, I,O} {F, R, A, C, T, I, O, N} {F, R, A, C, T, I, O, N, E} Ø lide S t s Fir
Last
Slide
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n o i t a lan
Group B4
Question 4 Home Lesson Evaluation
A letter is chosen at random from the word ‘SINGAPORE’. If a consonant is chosen, what are the elements of the sample space?
Summary Blog
A
Games
B
Links
C
About Us
D
{I,A,O,E} {I, G, P, E} {S, I, G, O, R} {S, N, G, P, R} lide S t s La
Group B4
Question 5 Home Lesson Evaluation Summary
A two-digit number which is not more than 30 is chosen at random. List the elements of the sample space which satisfy the condition of a perfect square is chosen.
Blog
A
Games
B
Links
C
About Us
D
{9, 16} {16, 25} {9, 25} {9, 16, 25} lide S t s La
Group B4
Question 6 Home Lesson Evaluation Summary
A coin and a dice are thrown simultaneously. The event A is defined as follow. A = Event of obtaining a ‘heads’ from the coin and an even number from the dice Let H = {Head} and T = {Tail} List the elements of the event A.
Blog Games
A
A = {(H, 1), (H, 3), (H, 5) }
Links
B
A = {(H, 2), (H, 4), (H, 6) }
About Us
C
A = {(T, 1), (T, 3), (T, 5) }
D
A = {(T, 2), (T, 4), (T, 6) } lide S t s La
Group B4
Question 7 Home Lesson Evaluation Summary Blog Games Links About Us
Two dice are thrown simultaneously. The event R is defined as follow. R = Event such that the sum of the numbers from the two dice is more than 12. A
{4, 3}
B
{5, 6}
C
{6, 6}
D
Ø lide S t s La
Group B4
Question 8 Home Lesson Evaluation Summary Blog Games
Three cards, as shown in the above diagram, are put into a box. A card is drawn at random from the box and the letter is recorded. Then the card is put back into the box before another card is drawn at random. This process is repeated 240 times and the results are recorded in the table as shown below. Based on the above table, calculate the probability that a card with the letter ‘E’ is drawn. Outcome Number of occurrences
Links
A
About Us
B C D
E
L
162
78
9/40 13/40 27/40 39/40 ide
Sl t s a L
Group B4
Question 9 Home Lesson Evaluation Summary
In the month of December, 5000 cars were sold. If the probability that a Proton car was sold is 1/5, calculate the number of Proton cars that were sold in that month.
Blog Games Links About Us
A B C D
500 1000 1500 2000 lide S t s La
Group B4
Question 10 Home Lesson Evaluation Summary
In a class, 15 students wear glasses. If a student is randomly chosen from the class, the probability that the student wear the glasses is 1/3. What is the total number of students in the class?
Blog Games Links About Us
A B C D
45 people 50 people 57 people 85 people lide S t s La
Group B4
Question 11 Home Lesson Evaluation Summary
A number is chosen at random from a set of positive integers from 20 to 30 (inclusive of 20 and 30). Calculate the probability that a prime number is chosen.
Blog Games
A
Links
B
About Us
C D
1/11 2/11 3/11 4/11 lide S t s La
Group B4
Question 12 Home Lesson Evaluation Summary Blog Games Links About Us
In a group of 80 students, 50 are boys. A further 10 girls then join the group. If a student is chosen at random from the group, calculate the probability that the student is a girl. A B C D
1/2 1/3 3/8 4/9 lide S t s La
Group B4
Question 13 Home Lesson Evaluation Summary
A bag contains 80 white, green and blue stockings. There are 30 white stockings. If a stocking is picked at random from the bag, the probability of picking a green stocking is 2/5. How many blue stockings are there?
Blog Games Links About Us
A B C D
8 18 28 38 lide S t s La
Group B4
Question 14 Home
The table below shows the distribution of the masses of parcels to be delivered by a courier service company.
Lesson Evaluation Summary Blog Games
Mass (kg)
Number of parcels
1.0 – 1.9
15
2.0 – 2.9
13
3.0 )– 3.9
8
4.0 – 4.9
x
5.0 – 5.9
2
If a parcel is chosen at random, the probability that the parcel has a mass of not less than 3.0 kg is 1/3. Find the value of x.
Links
A
About Us
B C D
4 5 6 7 e
Slid t s a L
Group B4
Question 15 Home
The diagram shows six number cards.
Lesson Evaluation Summary
A card is chosen at random. Find the probability of choosing a multiple of 4.
Blog Games
A
Links
B
About Us
C D
1/6 1/3 1/2 2/3 lide S t s La
Group B4
Home Lesson Evaluation Summary Blog Games Links About Us
The end
Group B4
Question 1 Home Lesson Evaluation Summary Blog Games Links About Us
In a box, there are red and green marbles. A marble is drawn at random from the box. Determine which of the following outcomes is a possible outcome. A
Only a red marble is drawn B Only A yellow marble is not a possible outcome because there a green marble is drawn are no marbles the box. A is red marble and a C yellow A red marble or aingreen marble drawn green marble are possible outcomes because there are D A yellow marble is drawn red and green marbles in the box. lide S t s Fir
Last
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Exp
n o i t a lan
Group B4
Question 2 Home Lesson Evaluation
A tetrahedral dice numbered 1 to 4 is thrown on a table. The number on the face of the dice is recorded. List all the possible outcomes.
Summary
{1, 2, 3}
Blog
A
Games
3, 4} BA {2, tetrahedral
Links About Us
dice has four faces. On each of the Cfaces {1, 2,of3,the 4} dice is displayed a whole number, from 1 to 4. Hence, all the possible outcomes are D {1, 2, 3, 4, 5,} 1, 2, 3, and 4. Last
Slide
Exp
n o i t a lan
Group B4
Question 3 Home Lesson Evaluation
In an experiment, a letter is chosen from the word ‘FRACTION’. The sample space of the experiment is
Summary Blog Games Links About Us
{F, R, A, C, T, I,O} BThe {F, sample R, A, C,space T, I, of O,an N}experiment is the set of all possible outcomes of the experiment. So, the C {F, R, A, C, T, I, O, N, E} letters F, R, A, C, T, I, O, N are all the possible Doutcomes Ø from the word ‘FRACTION’. A
lide S t s Fir
Last
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n o i t a lan
Group B4
Question 4 Home Lesson Evaluation
A letter is chosen at random from the word ‘SINGAPORE’. If a consonant is chosen, what are the elements of the sample space?
Summary Blog
A
Games
B
Links
C
About Us
D
{I,A,O,E} Sample {I, G, P, space E} = {S, I, N, G, A, P, O, R, E} {S, I, G, O, R} So all the possible outcomes for the {S, N, G, P,are R} S, N, G, P, R. consonant lide S t s La
Group B4
Question 5 Home Lesson Evaluation Summary
A two-digit number which is not more than 30 is chosen at random. List the elements of the sample space which satisfy the condition of a perfect square is chosen.
Blog
A
Games
B
Links
C
About Us
D
{9, 16} 9 is only one-digit perfect square which {16, 25} are less than 30. Two-digit perfect {9, 25} squares which are less than 30 are 16 (4 x 4) and 25 (5 x 5). {9, 16, 25} lide S t s La
Group B4
Question 6 Home Lesson Evaluation Summary
A coin and a dice are thrown simultaneously. The event A is defined as follow. A = Event of obtaining a ‘heads’ from the coin and an even number from the dice Let H = {Head} and T = {Tail} The table helpsofusthe listevent the elements of the sample space: List thebelow elements A.
Blog Games
A
A = {(H, 1), (H, 3), (H, 5) }
Links
B
A = {(H, 2), (H, 4), (H, 6) }
About Us
So, the set of outcomes of event A that obtaining a ‘heads’ from the C A = {(T, 1), (T, 3), (T, 5) } coin and an even number from the dice is {(H, 2), (H, 4), (H, 6) } . D
A = {(T, 2), (T, 4), (T, 6) } lide S t s La
Group B4
Question 7 Home Lesson Evaluation Summary Blog Games Links About Us
Two dice are thrown simultaneously. The event R
The table below helps us list the elements of the sample space.
is defined as follow. R = Event such that the sum of the numbers from the two dice is more than 12. A
{4, 3}
B
{5, 6}
C
{6, 6}
So, the setDof Ø outcomes of event R that the sum of the numbers from the two dice is more than 12 is Ø. lide S t s La
Group B4
Question 8 Home Lesson Evaluation Summary Blog Games
Three cards, as shown in the above diagram, are put into a box. A card is drawn at random from the box and the letter is recorded. Then the card is put back into the box before another card is drawn at random. This process is repeated 240 times and the results are recorded in the table as shown on the Probability that abelow. card Based with the above table, calculateletter the probability that a card with the letter ‘E’ is drawn ‘E’ is drawn. Outcome Number of occurrences
Links
A
About Us
B C D
9/40 13/40 27/40 39/40
= P(E) E L = Number of times the letter ‘E’ is 162 78 drawn/Number of trials = 162/240 = 27/40 lide S t s La
Group B4
Question 9 Home Lesson Evaluation Summary Blog Games Links About Us
In the month of December, 5000 cars were sold. If the probability that a Proton car was sold isP(a1/5, calculate Proton car is sold)the number of Proton cars that were = 1/5 sold in that month. Number of Proton cars sold/Total number of cars sold = 1/5 A 500 Number of Proton cars sold/5000 = 1/5 B 1000 So, Number of Proton cars sold = 1/5 x 5000 C 1500 = 1000 D
2000 ide
Sl t s a L
Group B4
Question 10 Home Lesson Evaluation Summary Blog Games Links About Us
In a class, 15 students wear glasses. If a student is randomly chosen from the class, the probability Let that the student wear the glasses is 1/3. What is the total number of students in the class? A B C D
45 people 50 people 57 people Total number of students in the class is 45. 85 people Slid t s a L
e
Group B4
Question 11 Home Lesson Evaluation Summary
A number is chosen at random from a set of positive integers from 20 to 30 (inclusive of 20 and 30). Calculate the probability that a prime number is chosen.
Blog Games Links About Us
A B C D
1/11 2/11 3/11 4/11
Let S = Sample space R = Event that a prime number is chosen S = {20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30} R = {23, 29} So, P(R) = n(R)/n(S) = 2/11 ide
Sl t s a L
Group B4
Question 12 Home Lesson Evaluation Summary Blog Games Links About Us
In a group of 80 students, 50 are boys. A Let further 10 girls Bthen jointhat theagroup. If a student = Event boy is chosen is chosen at random from group, calculate G = Event thatthe a girl is chosen S = Sample space is a girl. the probability that the student A B C D
1/2 1/3 3/8 4/9
n(B) = 50 n(G) = (80 – 50) + 10 = 40 n(S) = 80 + 10 = 90 So, P(G) = n(G)/n(S) = 40/90 = 4/9 ide
Sl t s a L
Group B4
Question 13 Home Lesson Evaluation Summary Blog Games Links About Us
A bag contains 80 white, green and blue stockings. There are 30Let white stockings. If a stocking is S = Sample space picked at random thea white bag,stocking the probability of W = from Event that is picked = Event that aisgreen stocking picking a greenGstocking 2/5. Howis picked many blue B = Event that a blue stocking is picked stockings are there? n(S) = 80 A B C D
8 18 28 38
n(W) = 30 n(G) = P(G) x n(S) = 2/5 x 80 = 32 So, n(B) = n(S) - n(W) - n(G) = 80 – 30 – 32 =18 ide
Sl t s a L
Group B4
Question 14 Home Lesson Evaluation Summary Blog Games Links About Us
The table below showsA the distribution of the masses of parcels = Event of obtaining a parcel that hastoabe delivered by a courier service company. mass of not less than 3.0kg Mass (kg) S = Sample space Number of parcels n(A) = 8 + x + 2 1.0 – 1.9 15 =10 + x 2.0 – 2.9 13 3.0 )– 3.9 n(S) = 15 + 13 + 8 + x + 28 = 38 + x 4.0 – 4.9 x P(A) = 1/3 5.0 – 5.9 2 n(A)/n(S) = 1/3 If a parcel is chosen at(10 random, the+probability + x)/(38 x) = 1/3 that the parcel has a mass of not less than 3.0 kg is 1/3. 3(10 Find + thex)value = 38 of + xx. 30 + 3x = 38 + x A 4 3x – x = 38 – 30 2x = 8 B 5 x=4 C 6 D
7
Group B4
Question 15 The diagram shows six number cards.
Home Lesson Evaluation
A card isLet chosen at random. thethere probability S = Sample spaceFind which are sixof choosing a multiple of 4.
Summary Blog Games Links About Us
1/6 1/3 1/2 2/3
A B C D
1/6 1/3 1/2 2/3
cards A = an event of choosing multiple of 4 which are number 20 and 32. n(A) = 2 and n(S) = 6 P(A) = n(A)/n(S) = 2/6 = 1/3
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