Let XandYbe two events that P(X)=31,P(X|Y)=21andP(Y|X)=52then:P(Y)=154 (b) P(X∪Y)=52P(Xprime|Y)=21 (d) P(X∩Y)=51
Five cards—the ten, jack, queen, king and ace of diamonds, are well shuffled with their face downwards. One card is then picked up at random.(i) What is the probability that the card is the queen?(ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?
AandB play a series of games which cannot be drawn and p,q are their respective chance of winning a single game. What is the chance that A wins m games before B wins n games?
Let A and B be two independent events. The probability of their simultaneous occurrence is 1/8 and the probability that neither occurs is 3/8. Find P(A)andP(B)˙
Two students Anil and Ashima appeared in an examination. The probability that Anil will qualify the examination is 0.05 and that Ashima will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02.
Find the probability that
(a) Both Anil and Ashima will not qualify the examination.
(b) Atleast one of them will not qualify the examination and
(c) Only one of them will qualify the examination.