Probability Quiz for Upcoming Exams

Q11.  If P (A) = 0.18, P (B) = 0.5 and P (B|A) = 0.2, find P(A n B)? 

1. 32
2. 36
3. 16
4. 64

Q12. If P(A) = 5/13, P(B) = 7/13, and P(A ∩ B) = 8/13, Find P(A ∪ B)? 

1. 4/13
2. 5/13
3. 6/13
4. None of these

Q13.  If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 6/15 Find P(A|B) 

1. 6/15
2. 3/4
3. 3/2
4. None of these

Q14. If P(A) = 6/17, P(B) = 5/17, and P(A ∪ B) = 4/17 Find P(B|A)? 

1. 6/3
2. 2/5
3. 2/7
4. 2/3

Q15. An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black? 

1. 1/7
2. 2/7
3. 7/3
4. 3/7

Q16. Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards. What is the probability that first two cards are queens and the third card drawn is an ace?

1. 2/5530
2. 3/5525
3. 2/5525
4. 4/5525

Q17. A die is thrown. If G is the event ‘the number appearing is a multiple of 3’ and H be the event ‘the number appearing is even’ then find whether G and H are independent ? 

1. G and H are not independent events.
2. G and H are independent events.
3. Only G independent event
4. None of these

Q18. An unbiased die is thrown twice. Let the event A be ‘odd number on the first throw’ and B the event  ‘odd number on the second throw’. Check the independence of the events A and B.

1. A or B are independent events
2. A and B are not independent events
3. A and B are independent events
4. None of these

Q19. 6 Coins are tossed simultaneously. find the probability to get 2 hands 

1. 15/32
2. 5/64
3. 15/64
4. None of these

Q20. If P(A) = 4/5 and P (B) = 2/5, find P (A n B) if A and B are independent events. 

1. 8/23
2. 8/25
3. 3/25
4. None of these

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