Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 11 - Probability and Statistics - 11-2 Probability - Practice and Problem-Solving Exercises - Page 687: 50

Answer

$\dfrac{25}{36}$

Work Step by Step

With $24$ green marbles, $22$ blue marbles, $14$ yellow marbles, and$12$ red marbles, the total number of marbles is \begin{align*}\require{cancel} & 24+22+14+12 \\&= 72 .\end{align*} The probability of getting a not blue marble is given by the number of green, yellow and red marbles divided by the total number of marbles. That is \begin{align*} & \dfrac{24+14+12}{72} \\\\&= \dfrac{50}{72} \\\\&= \dfrac{\cancel{50}^{25}}{\cancel{72}^{36}} \\\\&= \dfrac{25}{36} .\end{align*} Hence, the probability of randomly choosing a not blue ball is $ \dfrac{25}{36} .$
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