Question

a standard deck of 52 cards contains 4 jacks, 4 queens, and 4 kings. find the probability of randomly drawing either a jack or a king from the deck.
(1 point)
$\frac{1}{13}$
$\frac{2}{3}$
$\frac{2}{13}$
$\frac{3}{13}$

Explanation:

Step1: Calculate the number of favorable outcomes

The number of jacks is \(4\) and the number of kings is \(4\). So the number of favorable outcomes (either a jack or a king) is \(4 + 4=8\).

Step2: Use the probability formula

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). The total number of cards in the deck is \(n = 52\). So \(P=\frac{8}{52}\).

Step3: Simplify the fraction

Simplify \(\frac{8}{52}\) by dividing both the numerator and the denominator by \(4\). \(\frac{8\div4}{52\div4}=\frac{2}{13}\).

Answer:

\(\frac{2}{13}\) (the third option)