Question

A card is drawn at random for a well-shuffled deck of playing cards. Find the probability the card drawn is a card of spade or an ace.

• A. $\frac{4}{13}$
• B. $\frac{2}{13}$
• C. $\frac{6}{13}$
• D. none of these

Answer 1

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

There are $52$ cards in total.

Hence, total Outcomes $=52$

Probability of the card drawn is a card of spade or an Ace:

Total cards of Spade $=13$

Total Aces $=4$

Number of Aces of Spade $=1$

Therefore,

Probability of the card drawn is a card of spade or an Ace:

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