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: 32

Answer

$\frac{1}{15}$

Work Step by Step

We know that $probability=\frac{\text{number of favourable outcomes}}{\text{number of all outcomes}}$ The total number of outcomes is $6\cdot5=30$ because we can select any of the marbles as the first one and then any of the marbles that we have not selected as the first one. The number of favourable outcomes is $2\cdot1=2$ because we can select any of the yellow marbles as the first one and then any of the yellow marbles that we have not selected as the first one. Hence the probability here is: $\frac{2}{30}=\frac{1}{15}$
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