Question

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is black or king.

• A. $\frac{1}{2}$
• B. $\frac{7}{13}$
• C. $\frac{15}{26}$
• D. $\frac{8}{13}$

Answer 1

The correct option is B $\frac{7}{13}$

Total no. of outcomes = 52
Number of black cards (Spade+Club) in a pack of '52' cards = 26
Number of 'Kings' in a pack of cards = 4
Number of 'Black Kings' that have already been included in the number of black cards = 2
$\therefore$ Number of favourable outcomes $=26+4-2=28$

$\therefore$ Probability(getting a black or king) $=\frac{28}{52}=\frac{7}{13}$