Question

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. If the queen is drawn and put aside and a second card is drawn, find the probability that the second card is

1. an ace,
2.  a queen.

Answer 1

When the queen is put aside, number of remaining cards = 4.

(i) Number of aces = 1.

∴ P(getting an ace) = `("Number of favourable outcomes")/"Number of all possible outcomes"`

`=1/4`

Thus, the probability that the drawn card is an ace is`1/4` .

(ii) Number of queens = 0.

∴ P(getting a queen now) =`("Number of favourable outcomes")/"Number of all possible outcomes"`

 = `0/4 = 0`

Thus, the probability that the drawn card is a queen is 0.