Chapter 13, Problem 10PT

To determine

The probability of greenapples chosen is to be estimated.

Answer to Problem 10PT

The probability of green apples is chosen is $\frac{1}{5}$ .

Explanation of Solution

Given:

  $\begin{array}{l}{A}_r=8\\ A_g=4\\ A_y=8\end{array}$

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 greenapples in the fraction form is calculated as:

  $\begin{array}{l}{P}_g=\frac{A_g}{A_r+A_g+A_y}\\ P_g=\frac{4}{8+4+8}\\ P_g=\frac{4}{20}\\ P_g=\frac{1}{5}\end{array}$

Conclusion:

Hence, the probability of getting green apples is $P_g=\frac{1}{5}$ .