Probability
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PROBABILITY Dr. T.K. Jain. AFTERSCHOOOL M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk
www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
What is the probability of getting one spade or an ace? • • • •
Spade: 13/52 Ace = 4/52 Ace of spade = 1/52 Total = (13+4-1)/52 = 16/52=4/13
www.afterschoool.tk
What is the probability of either Shyam or Pawan hitting the target. Both have probability of hitting the targets of ¾? • Shyam or Pawan not hitting = ¼ • Thus hitting = 1- (1/4*1/4) = 15/16 www.afterschoool.tk
At afterschoool, we have 9 male and 5 female students who will become entrepreneurs. The chance of becoming an entrepreneur is .3. what is the probability that someone will become an entrepreneur, if she is a girl? • The answer is same – boy or girl = .3 www.afterschoool.tk
How many numbers can you make with 3,4,5,6, which are exactly divisible with 4? • 3*2*1= 6 is the answer.
www.afterschoool.tk
A coin is tossed thrice, what is the probability that you will get two or more heads? • Total outcomes = 2^3 = 8 • Favourable = for 2 =3C2 = 3, for 3 = 3C3=1 • Total =4/8 =.5
www.afterschoool.tk
How many words can you make from INTEGER? • 7!/2!
www.afterschoool.tk
Arihant and Mahavir compete by dice. The person who gets 1 on dice first will get a car. What is the probability for Mahavir to get a car? • (5/6*1/6)+(5/6*5/6*1/6)+ … so on the answer is 5/11.
www.afterschoool.tk
A committee of 4 is to be formed out of 6 boys and 5 girls.what is the probability that at least 2 girls are there in committee? • 5C2*6C2/11C4+5C3*6C1/11C4+5C4/1 1C4 www.afterschoool.tk
The probability of Tarachand getting the post of MD is 1/5. what is the chance that he will become MD if he tries for 10 times? • Not becoming MD = 4/5, so becoming MD = 1-(4/5)^10 www.afterschoool.tk
What is the ratio of getting total of 7 and 10 from throw of two dice? • • • • •
7 = 6+1,2+5,3+4,4+3,5+2,6+1 10 = 4+6,5+5,6+4 Probabity of getting 7 = 6/36 Probability of getting 10 = 3/36 Thus ratio is 2:1
www.afterschoool.tk
www.afterschoool.tk
www.afterschoool.tk
Thanks Afterschoool conducts three year integrated PGPSE (after class 12 along with CA & CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CMA / FRM. This course is also available online also. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing society.
www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
What is the probability of getting one spade or an ace? • • • •
Spade: 13/52 Ace = 4/52 Ace of spade = 1/52 Total = (13+4-1)/52 = 16/52=4/13
www.afterschoool.tk
What is the probability of either Shyam or Pawan hitting the target. Both have probability of hitting the targets of ¾? • Shyam or Pawan not hitting = ¼ • Thus hitting = 1- (1/4*1/4) = 15/16 www.afterschoool.tk
At afterschoool, we have 9 male and 5 female students who will become entrepreneurs. The chance of becoming an entrepreneur is .3. what is the probability that someone will become an entrepreneur, if she is a girl? • The answer is same – boy or girl = .3 www.afterschoool.tk
How many numbers can you make with 3,4,5,6, which are exactly divisible with 4? • 3*2*1= 6 is the answer.
www.afterschoool.tk
A coin is tossed thrice, what is the probability that you will get two or more heads? • Total outcomes = 2^3 = 8 • Favourable = for 2 =3C2 = 3, for 3 = 3C3=1 • Total =4/8 =.5
www.afterschoool.tk
How many words can you make from INTEGER? • 7!/2!
www.afterschoool.tk
Arihant and Mahavir compete by dice. The person who gets 1 on dice first will get a car. What is the probability for Mahavir to get a car? • (5/6*1/6)+(5/6*5/6*1/6)+ … so on the answer is 5/11.
www.afterschoool.tk
A committee of 4 is to be formed out of 6 boys and 5 girls.what is the probability that at least 2 girls are there in committee? • 5C2*6C2/11C4+5C3*6C1/11C4+5C4/1 1C4 www.afterschoool.tk
The probability of Tarachand getting the post of MD is 1/5. what is the chance that he will become MD if he tries for 10 times? • Not becoming MD = 4/5, so becoming MD = 1-(4/5)^10 www.afterschoool.tk
What is the ratio of getting total of 7 and 10 from throw of two dice? • • • • •
7 = 6+1,2+5,3+4,4+3,5+2,6+1 10 = 4+6,5+5,6+4 Probabity of getting 7 = 6/36 Probability of getting 10 = 3/36 Thus ratio is 2:1
www.afterschoool.tk
www.afterschoool.tk
www.afterschoool.tk
Thanks Afterschoool conducts three year integrated PGPSE (after class 12 along with CA & CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CMA / FRM. This course is also available online also. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing society.
www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
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