Question

A card is drawn from an ordinary pack of playing cards and a person bets that it is a spade or an ace. What is the probability that he wins the bet ?

(a) 1/26 (b) 5/52 (c) 17/52 (d) 4/13

Answer 1

Total no. of cards = 52
No. of cards which are spade or ace = 13 + 3 = 16
Thus, the probability of getting cards which are either an ace or spade = $\frac{16}{52}=\frac{4}{13}$
Therefore the probability of winning the bet = $\frac{4}{13}$