Question

A cards is drawn from a pack of $52$ cards. What is the probability that it is a spade or an ace?

• A. $\frac{1}{13}$
• B. $\frac{1}{14}$
• C. $\frac{2}{13}$
• D. $\frac{4}{13}$

Answer 1

The correct option is D $\frac{4}{13}$

Total Cards: $52$

Total spades: $13$

Total Aces: $4$

Total Ace of spade: $1$

Required probability:

$P=$ Probability of getting spade $+$ probability of getting ace $-$ Probability of getting ace of spade

$P=\frac{13}{52}+\frac{4}{52}-\frac{1}{52}=\frac{16}{52}=\frac{4}{13}$