Chapter 13.6, Problem 22HP

To determine

The real world example that shows the probability of the event and event is $25\%.$

Answer to Problem 22HP

This example shown the probability of event is $25\%.$

Explanation of Solution

Fraction Form:

In a jar there are $150$ blue gumballs, $100$ green gumballs, $200$ orange gumballs, and $150$ pink gumballs.

So get the probability of picking a blue gumball.

  $\begin{array}{l}P\left(\text{blue gumballs}\right)=\frac{\text{Frequency}\text{of blue}\text{gumball}}{\text{Total no}\text{.}\text{of}\text{gumballs}}\\ P\left(\text{blue gumballs}\right)=\frac{150}{150+100+200+150}\\ P\left(\text{blue gumballs}\right)=\frac{150}{600}\text{or }\frac{1}{4}\end{array}$

Percent Form:

To convert from a fraction to percent, multiply the fraction the fraction with $100$ and finally place $\%$ sign at the end of the number. That is,

  $\begin{array}{l}=\left(\frac{1}{4}\right)\times 100\%\\ =\left(\frac{100}{4}\right)\%\\ =25\%\end{array}$

Conclusion:

Hence, hence this example shown the probability of event is $25\%.$