Chapter 0.11, Problem 14E

To determine

The probability of not getting red.

Answer to Problem 14E

  $P\left(notred\right)=\frac{7}{8}$

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.

Probabilityof notgetting red = 1-probability of getting red.

  $\begin{array}{l}P\left(notred\right)=1-P\left(redmarble\right)\\ P\left(notred\right)=1-\frac{1}{8}\\ P\left(notred\right)=\frac{8-1}{8}\\ P\left(notred\right)=\frac{7}{8}\end{array}$