Chapter 12, Problem 43CR

To determine

Find the experimental probability that next apple will be good.

Answer to Problem 43CR

  $93.3\%$

Explanation of Solution

Given information:

An apple farmer has to thrown out $15$ bad apples from $225$ apples.

Calculation:

Consider the data farmer has to thrown out $15$ bad apples from $225$ apples.

  $\begin{array}{l}P\left(event\right)=\frac{numberoffavorableoutcomes}{numberofpossibleoutcomes}\\ P\left(notevent\right)=1-P\left(event\right)\end{array}$

Now find the probability of getting a bad apple.

Here, $15$ bad apples from $225$ apples, so probability of getting bad apples is as,

  $\begin{array}{l}P\left(badapple\right)=\frac{numberofbadapples}{totalnumberofapplespicked}\\ =\frac{15}{225}\\ =\frac{1}{15}\end{array}$

Now probability that next apple will be good,

  $\begin{array}{l}P\left(goodapple\right)=1-P\left(badapple\right)\\ 1-\frac{1}{15}\\ \frac{14}{15}\\ \%agevalueis\\ P\left(goodapple\right)=\frac{14}{15}\times 100\\ =93.3\%\end{array}$

Hence, the experimental probability that next apple will be good $93.3\%$ .