Question

a card is drawn from a well-shuffled deck of 52 cards. find the probability of drawing a jack or a queen. the probability is \boxed{}. (simplify your answer.)

Explanation:

Step1: Determine number of jacks and queens

In a deck of 52 cards, there are 4 jacks and 4 queens. Since we want jack or queen, we add the number of jacks and queens. So total favorable outcomes = 4 + 4 = 8.

Step2: Calculate probability

Probability is given by the formula $P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, total number of outcomes is 52 (total cards), and favorable outcomes is 8. So $P=\frac{8}{52}$. Simplify this fraction by dividing numerator and denominator by 4: $\frac{8\div4}{52\div4}=\frac{2}{13}$.

Answer:

$\frac{2}{13}$