Question

you randomly select one card from a 52-card deck. find the probability of selecting a nine or an eight. click the icon to view a description of a standard deck of playing cards. the probability is \boxed{}. (type an integer or a fraction. simplify your answer.) description of a standard deck of playing cards a standard 52-card deck of playing cards is illustrated in the following figure. the deck has four suits: hearts and diamonds are red, and clubs and spades are black. each suit has 13 different face values—a(ace), 2, 3, 4, 5, 6, 7, 8, 9, 10, j(jack), q(queen), and k(king). jacks, queens, and kings are called picture cards or face cards. (image of a standard deck of playing cards)

Explanation:

Step1: Count favorable cards

Each rank (8 or 9) has 4 suits, so 4+4=8 favorable cards.

Step2: Calculate probability

Probability = favorable/total = $\frac{8}{52}$ = $\frac{2}{13}$.

Answer:

$\frac{2}{13}$