Chapter 10.8, Problem 4GP

To determine

To find: The total number of outcomes also find the probability the girls will bring the same color.

Answer to Problem 4GP

Probability(same purse) = $\frac{1}{4}$ .

Explanation of Solution

Given Information: Amber has a denim and a black purse, ebony has a black, red, a denim and a brown purse.

No. of purse amber has $=2$ .

No. of purse Ebony has $=4$ .

Use the fundamental principle of counting

Total outcomes = $2\times 4=8$

Now there are two ways they can bring the same color. Either both choose denim or both choose black,

Probability (same purse) = $\frac{2}{8}=\frac{1}{4}$

In percentage = $\frac{1}{4}\times 100=25\%$ .