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E and F are two independent events such that P(E̅) = 0·6 and P(E ∪ F) = 0·6. Find P(F) and P(E̅ ∪ F̅).
The probability distribution of a random variable X is given below :
A and B are independent events such that P(A ∩ B̄) = 1/4 and P(Ā ∩ B) = 1/6. Find P(A) and P(B).
Events A and B are such that P(A) = 1/2, P(B) = 7/12 and P(A̅ ∪ B̅) = 1/4. Find whether the events A and B are independent or not.
E and F are two independent events such that P(Ē) = 0·6 and P(E ∪ F) = 0·6. Find P(F) and P(Ē ∪ F̄).
Two numbers are selected from first six even natural numbers at random without replacement. If X denotes the greater of two numbers selected, find the probability distribution of X.
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