Question

you are dealt one card from a 52 - card deck. find the probability that you are not dealt an eight. the probability is □. (type an integer or a fraction. simplify your answer.) click the icon to view a description of a standard deck of playing cards.

Explanation:

Step1: Determine total and favorable outcomes

Total number of cards in a deck is $n = 52$. Number of eight - cards in a deck is 4. So number of non - eight cards is $52−4=48$.

Step2: Calculate probability

Probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, favorable outcomes are non - eight cards. So $P=\frac{48}{52}=\frac{12}{13}$.

Answer:

$\frac{12}{13}$