Question

you randomly select one card from a 52 - card deck. find the probability of selecting a black five or a black ace. click the icon to view a description of a standard deck of playing cards. the probability is (type an integer or a fraction. simplify your answer.)

Explanation:

Step1: Count favorable outcomes

There are 2 black fives (spades and clubs) and 2 black aces (spades and clubs), so the number of favorable outcomes is $2 + 2=4$.

Step2: Determine total outcomes

The total number of cards in a deck is 52.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{4}{52}=\frac{1}{13}$.

Answer:

$\frac{1}{13}$