Question

A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a spade?A. 4/13B. 16C. 1/4D. 17

Answer 1

The number of ace in a deck of 52 cards is =4

The number of spade in a deck of 52 cards is = 13.

The number of ace of spade in a deck of 52 cards is =1

The event is non-exclusive hence the probablity can be determined as,

$\begin{gathered} P(A\cup S)=P(A)+P(S)-P(A\cap S) \\ =\frac{4}{52}+\frac{13}{52}-\frac{1}{52} \\ =\frac{16}{52} \\ =\frac{4}{13} \end{gathered}$

Thus, option (A) is correct.