Question

you randomly select one card from a 52-card deck. find the probability of selecting a six or a two. 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.)

Explanation:

Step1: Calculate the number of favorable outcomes

There are 4 sixes and 4 twos 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

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

Answer:

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