Question

if one card is randomly selected from a well - shuffled standard deck of 52 cards, what is the probability that the card selected is not a 5? leave your answer as a reduced fraction.

Explanation:

Step1: Find number of 5s

A standard deck has 4 cards with number 5.

Step2: Find number of non - 5s

Total cards are 52, so non - 5s are $52 - 4=48$.

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{48}{52}=\frac{12}{13}$.

Answer:

$\frac{12}{13}$