Question

a card is drawn from a well - shuffled deck of 52 cards. find the probability of drawing a 2 or a jack. the probability is \\(\square\\) (simplify your answer)

Explanation:

Step1: <Calculate the number of favorable outcomes>

There are 4 cards of 2 and 4 cards of jack in a deck. So the number of favorable outcomes \(n = 4 + 4=8\).

Step2: <Use the probability formula>

The probability formula is \(P(A)=\frac{n(A)}{n(S)}\), where \(n(A)\) is the number of favorable outcomes and \(n(S)\) is the total number of outcomes. Here \(n(S) = 52\). So \(P=\frac{8}{52}\).

Step3: <Simplify the fraction>

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

Answer:

\(\frac{2}{13}\)