Chapter 10.6, Problem 41HP

To determine

To find: An example of a real world situation in which probability of an event is $25\%.$

Answer to Problem 41HP

A jar that contains $150$ blue marbles, $100$ green marbles, $200$ orange marbles, and $150$ pink marbles .probability of blue marble is $25\%.$

Explanation of Solution

Given Information: Given a model of mathematics.

Let us consider a jar that contains $150$ blue marbles, $100$ green marbles, $200$ orange marbles, and $150$ pink marbles.

Then probability(blue marbles) :

  $\begin{array}{l}=\frac{\text{no}\text{.}\text{of}\text{blue}\text{marbles}}{\text{Total}\text{no}\text{.}\text{of}\text{marbles}}\\ =\frac{150}{150+100+200+150}\\ =\frac{150}{600}=\frac{1}{4}\end{array}$

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

Thus, probability of blue marble is $25\%.$