Class 12 Probability MCQs

P(A ∩ B) is equal to:

• P(A) . P(B|A)

• P(B) . P(A|B)

• Both A and B

• None of these

If P (A) = 0.8, P (B) = 0.5 and P (B|A) = 0.4, what is the value of P (A ∩ B)?

• 0.32

• 0.25

• 0.1

• 0.5

If P (A) = 6/11, P (B) = 5/11 and P (A ∪ B) = 7/11, what is the value of P(B|A)?

• ⅓

• ⅔

• 1

• None of the above

Find P(E|F), where E: no tail appears, F: no head appears, when two coins are tossed in the air.

• 0

• ½

• 1

• None of the above

If P(A ∩ B) = 70% and P(B) = 85%, then P(A/B) is equal to:

• 17/14

• 14/17

• ⅞

• ⅛

If P(A) = 0.4, P(B) = 0.7 and P(B/A) = 0.6. Find P(A ∪ B).

• 0.46

• 0.86

• 0.76

• 0.54

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?

• 3/7

• 7/3

• 1/7

• ⅓

If E and F are independent events, then;

• P(E ∩ F) = P(E)/ P(F)

• P(E ∩ F) = P(E) + P(F)

• P(E ∩ F) = P(E) . P(F)

• None of the above

If A and B are two independent events, then the probability of occurrence of at least one of A and B is given by:

• 1+ P(A′) P (B′)

• 1− P(A′) P (B′)

• 1− P(A′) + P (B′)

• 1− P(A′) – P (B′)

The probability of solving the specific problems independently by A and B are 1/2 and 1/3 respectively. If both try to solve the problem independently, find the probability that exactly one of them solves the problem.

• 1

• ½

• ⅓

• ¼