Question

All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is

(i) a red card,

(ii) a face card,

(iii) a card of clubs [4 MARKS]

Answer 1

Concept: 1 Mark
Solution: 1 Mark each

There are 6 red face cards. These are removed

Remaining number of cards = 52 - 6 = 46

(i) Number of red cards now = 26 - 6 = 20

$\therefore$ P(getting a red card) $=\frac{20}{46}=\frac{10}{23}$

(ii) Remaining number of face cards = 12 - 6 = 6

$\therefore$ P(getting a face card) $=\frac{6}{46}=\frac{3}{23}$

(iii) There are 12 cards of clubs

$\therefore$ P(getting a card of clubs) $=\frac{12}{46}=\frac{6}{23}$