Five cards-the ten, jack, queen, king and ace of diamonds are well shuffled with their faces downwards. One card is then picked up at random. (a) What is the probability that the drawn card is the queen? (b) If the queen is drawn and put aside and a second card is drawn, find the probability that he second card is (i) an ace, (ii) a queen.
Total numbers elementary events are: 5.
(a) Number of favourable event = 1.
∴ P (getting a queen) = P (E) = 1/5
(b) When the queen has put aside, number of remaining cards = 4.
(i) Let E be the event of getting an ace
The number of favourable outcome is = 1.
∴ P (getting an ace) = P (E) = 1/4
(ii) Let E be the event of getting queen
Number of favourable event is = 0 being queen card already withdrawn
∴ P (getting a queen now) = P (E) = 0