Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.7 - Probability - 11.7 Exercises - Page 834: 22

Answer

$\frac{10}{13}$

Work Step by Step

We know that $probability=\frac{\text{number of favourable outcomes}}{\text{number of all outcomes}}$ The total number of cards (the number of all outcomes) is $52$ There are $12$ face cards ($3$ in each of the $4$ suits), thus there are $52-12=40$ non-face cards, which are the "good outcomes". Hence the probability here is: $\frac{40}{52}=\frac{10}{13}$
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