Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 13 - Counting and Probability - 13.3 Probability - 13.3 Asses Your Understanding - Page 865: 36



Work Step by Step

We know that $\text{probability}=\frac{\text{number of favorable outcomes}}{\text{number of all outcomes}}=\frac{n(F)}{n(S)}.$ There are $7$ black marbles so $n(F)=7$ The total number of possible outcomes is $n(S)=5+10+8+7=30$. Therefore, $\text{probability of selecting a black marble}=\dfrac{7}{30}.$
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