Question

The probability of drawing neither a king nor a spade from a pack of 52 cards is.

• A. $\frac{13}{52}$
• B. $\frac{15}{52}$
• C. $\frac{17}{52}$
• D. $\frac{9}{13}$
• E. $\frac{19}{52}$

Answer 1

The correct option is D $\frac{9}{13}$

Total number of spade = 13
Total number of kings = 4
Total number of favourable outcomes = (13 + 4 - 1) = 16
(One card is subtracted, as it has already been included in king of spade.)

Probability (Getting king or spade)
$=\frac{16}{52}=\frac{4}{13}$

Probability (neither a king nor a spade)
$=1-\frac{4}{13}=\frac{9}{13}$