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Q1. If P (A) = 0.18, P (B) = 0.5 and P (B|A) = 0.2, find P(A n B)?

a) 0.32

b) 0.36

c) 0.16

d) 0.64

Q2. If P(A) = 5/13, P(B) = 7/13, and P(A ∩ B) = 8/13, Find P(A ∪ B)?

a) 4/13

b) 5/13

c) 6/13

d) None of these

Q3. If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 6/15 Find P(A|B)

a) 6/15

b) 3/4

c) 3/2

d) None of these

Q4. If P(A) = 6/17, P(B) = 5/17, and P(A ∪ B) = 4/17 Find P(B|A)?

a) 6/3

b) 2/5

c) 2/7

d) 2/3

Q5. 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?

a) 1/7

b) 2/7

c) 7/3

d) 3/7

Q6. 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?

a) 2/5530

b) 3/5525

c) 2/5525

d) 4/5525

Q7. 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 ?

a) G and H are not independent events.

b) G and H are independent events.

c) Only G independent event

d) None of these

Q8. 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.

a) A or B are independent events

b) A and B are not independent events

c) A and B are independent events

d) None of these

Q9. 6 Coins are tossed simultaneously. find the probability to get 2 hands

a) 15/32

b) 5/64

c) 15/64

d) None of these

Q10. If P(A) = 4/5 and P (B) = 2/5, find P (A n B) if A and B are independent events.

a) 8/23

b) 8/25

c) 3/25

d) None of these