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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
