## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 10 - Section 10.7 - Probability - Exercise Set - Page 1119: 40

#### Answer

The probability that a picture card is not dealt from a pack of 52 cards is $\frac{10}{13}$.

#### Work Step by Step

We know that the total number of picture cards in a deck is 12. \begin{align} & P\left( \text{dealt a picture card} \right)=\frac{\text{number of picture cards}}{\text{total number of cards in the deck}} \\ & =\frac{12}{52} \\ & =\frac{3}{13} \end{align} Therefore, the probability that a picture card is not dealt is given below, \begin{align} & P\left( \text{not dealt a picture card} \right)\text{=1}-P\left( \text{dealt a picture card} \right) \\ & =1-\frac{3}{13} \\ & =\frac{10}{13} \end{align} Hence, the probability that a picture card is not dealt is $\frac{10}{13}$.

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