Question

The king, the queen, the jack and 10, all of spades, are lost from a pack of 52 playing cards. A card is drawn from the remaining well-shuffled pack. Find the probability of getting a (i) red card (ii) king (iii) black card.

Answer 1

Remaining number of cards = (52 − 4) = 48

So, total number of all possible outcomes= 48
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(i) Number of red cards = 26
∴ P( getting a red card) = $\frac{26}{48}=\frac{13}{24}$

(ii) Number of kings = 3
∴ P( getting a king) = $\frac{3}{48}=\frac{1}{16}$

(iii) There are 13 cards of clubs and 9 cards of spades in the remaining 48 cards.

Number of favourable outcomes = (13 + 9) = 22

∴ P( getting a black card) = $\frac{22}{48}=\frac{11}{24}$