Chapter 13, Problem 9PT

To determine

The probability of red appleschosen is to be estimated.

Answer to Problem 9PT

The probability of red apples are chosen is $\frac{2}{5}$ .

Explanation of Solution

Given:

  $\begin{array}{l}{B}_r=8\\ B_g=4\\ B_y=8\end{array}$

Concept Used:

Probability of an event is calculated as:

  $P=\frac{n\left(E\right)}{n\left(S\right)}$

Where,

The probability of an event: $P$

The number of favourable outcomes: $n\left(E\right)$

The total number of events in the sample space: $n\left(S\right)$

Calculation:

The probability of getting red apples in the fraction form is calculated as:

  $\begin{array}{l}{P}_r=\frac{B_r}{B_r+B_g+B_y}\\ P_r=\frac{8}{8+4+8}\\ P_r=\frac{8}{20}\\ P_r=\frac{2}{5}\end{array}$

Conclusion:

Hence,the probability of getting red apples is $P_r=\frac{2}{5}$ .