If the events A and B are independent, then which of the following statements are true?

(A) P(A'B) = [1-P(A)] P(B)

(B) A and B are mutually exclusive

(C) P(A) = P(B)

(D) P(A'B') = [1-P(A)] [1-P(B)]

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A pair of coins thrown then

Match the LIST-I with LIST-II

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If E and F are two events such that $P(E \cup F)=P(E)$, then

Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. The probability distribution of number of aces is given by:

A random variable X has the following probability distribution:

then which of the following are TRUE?

(A) $k=0.1$

(B) $P(X < 1) = 0.4$

(C) $P(X < 2) = 0.7$

(D) $P(0 < X < 3) = 0.5$

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The probability that exactly two of them complete the task on time is

A problem in mathematics is given to three students whose chances of solving it are 1/2, 1/3, 1/4 respectively. The probability that the problem is solved is