1. What is the probability that a leap year, selected at random, will contain 53 Sunday ?
2. Two cards are drawn in succession from a pack of 52 cards. Find the probability that the first is a king and the second is a queen, if the first card is i) replaced, ii) not replaced.
3. Among the digits 1,2,3,4,5 at first one is chosen , and then a second selection is made among the remaining four digits . Assuming that all possible outcomes are equally likely , find the probability that an odd digit will be selected at i) the first time , ii) second times, iii) both times.
4. Let A and B be two events such that P(A+B) = 7/8. P(AB) 1/4 = and P(A‾ ) = 5/8. Find the conditional probability of A on the hypothesis that B does not occur.
5. For any two events A and B , then prove that, P(AB)<=P(A)<=P(A+B)<=P(A)+P(B)