MAGALLANES NATIONAL HIGH SCHOOL SEMI-FINAL EXAM MATH 10 I.
Identification. Identify what the statement refers to by selecting the answers in the box. Write only the letter of the correct answer.
1. 2. 3. 4. 5. 6. 7.
A composition of two or more simple events. The number of ways any object can be arranged with regard to order. A set of all outcomes that are not in the event. A set that contains all of the elements which are present in both events. A set of all possible outcomes resulting from a particular experiment. The number of ways any object can be arranged without regard to order. A diagram that uses circles to represent sets, in which the relations between the sets are indicated by the arrangement of the circles. 8. The likelihood or chance the event can occur. 9. Events that have no outcomes in common. 10. The product of n multiplied by all the integers less than n but greater than 0. a.n-factorial b. sample space c. Compound events II.
d. Venn diagram e. complement of an event f. probability
g. combination
j. intersection of events
h. independent events
k. union of events
i. mutually exclusive events
l. permutations
Multiple Choice. Choose only the letter of the correct answer (2 pts. each)
1. Choosing a subset of a set is an example of ___. a. Combination b. integration c. probability d. permutation 2. Which of the following involves permutation? a. Choosing something to wear c. opening a password b. Forming triangles from 4 points d. selecting songs in a CD 3. How many ways can 6 people be seated in a circular table? a. 360 b. 120 c. 720 d. 240 4. In a town fiesta singing competition with 12 contestants, in how many ways can the organizer arrange the first three singers? a. 132 b. 990 c. 1320 d. 1716 5. In how ways can 4 men and 3 women arrange themselves in a row for picture taking if the men and women must stand in alternate positions? a. 5040 b. 720 c. 144 d. 30 6. In a room, there are 10 chairs in a row. In how many ways can 5 students be seated in consecutive chairs? a. 720 b. 600 c. 252 d. 120 7. Which of the following does not illustrate a combination? a. Fixing schedule of subjects c. enumerating subsets of a set b. Identifying lines from 2 points d. forming committee c.
8. 9. 10.
III.
A die is rolled once. Find the probability of getting an even number. a.1/6 b. ½ c. 5/6 d. 1/3 A coin is toss 3 times. What is the probability of getting two tails? a.½ b. 3/8 c. ¾ d. 5/8 How many ways can you arrange the number 483,388? a. 120 b. 60 c. 30 d. 40
SOLVING. Solve as required. Show all your solutions.
1. Dara puts marbles in a box in which 15 are red, 12 are blue, and 18 are yellow. If Dara picks one marble at random, what is the probability that he selects a. a red marble or a yellow marble? b. a yellow or a blue marble? 2. A spinner is numbered from 1 to 20. What is the probability that it spins a a. 3 or 11? b. 6 or divisible by 5 c. even or less than 9? d. more than 13 or divisible by 5? 3. A nationwide survey revealed that 42% of the population likes eating pizza, 63% likes French fries and 38% likes both. If a person is randomly selected from the population, what is the probability he likes pizza or French fries?
“GOD BLESS!!!” Prepared by: CHARLOTTE S. LUSDOC T-III