If the difference between mean and variance of a Binomial distribution is 1 and the difference of their squares is 5, then the probability of success is

The probabilities of occurrance of two events A and B are 0.45 and 0.20 respectively. The probability of their simultaneous occurrence is 0.06. The probability that neither A nor B occurs is

If A and B are two independent events such that P(A) = 0.5, P(B) = 0.3 then

Match the LIST-I with LIST-II

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A coin is tossed K times. If the probability of getting $3$ heads is equal to the probability of getting $7$ heads, then the probability of getting $8$ tails is :

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

(A) $\bar{A}$ and B are independent events

(B) $P(A \cap B) = 0$

(C) $\bar{A}$ and $\bar{B}$ are independent events

(D) $P(A \cap B) = P(A) + P(B)$

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Two cards are drawn simultaneously at random from a well shuffled pack of 52 Cards. Let X be the random variable which denotes number of kings in the draw. Then the probability distribution of X is

Two dice are thrown simultaneously. If X denotes the number of sixes, then the mean of X is :