Chapter 10.2, Problem 18E

To determine

To calculate:

The probability value of $P\left(A\right)$

Answer to Problem 18E

The probability value of $P\left(A\right)$ is $0.25$ .

Explanation of Solution

Given information:

  $\begin{array}{l}P\left(B|A\right)=0.6\\ P\left(AandB\right)=0.15\end{array}$

Calculation:

Probability values of both events $A$ and $B$ is calculated as:

  $P\left(A\cap B\right)=P\left(A\right)\times P\left(B\right)$

Put the given data:

  $\begin{array}{l}0.15=P\left(A\right)\times 0.6\\ P\left(A\right)=\frac{0.15}{0.6}\\ P\left(A\right)=0.25\end{array}$