Chapter 0.11, Problem 15E

To determine

The probability of not getting red.

Answer to Problem 15E

  $P\left(notblue\right)=\frac{11}{24}$

Explanation of Solution

Given :

  $\begin{array}{l}P\left(redmarbel\right)=\frac{1}{8}\\ P\left(bluemarble\right)=\frac{13}{24}\end{array}$

Solution:

The largest value of probability of any event is 1.

Probability of not getting blue = 1- probability of getting blue.

  $\begin{array}{l}P\left(notblue\right)=1-P\left(bluemarble\right)\\ P\left(notblue\right)=1-\frac{13}{24}\\ P\left(notblue\right)=\frac{24-13}{24}\\ P\left(notred\right)=\frac{11}{24}\end{array}$