Chapter 12, Problem 2PT4

To determine

To find: the $P\left(AorB\right)$ on the basis of given information.

Answer to Problem 2PT4

0.1248

Explanation of Solution

Given:

  $\begin{array}{l}P\left(A\right)=0.24\\ P\left(B\right)=0.52\end{array}$

Formula used:

For the independent event

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

Calculation:

  $P\left(A\cap B\right)=P\left(A\right)\cdot P\left(B|A\right)\text{ or }P\left(B\right)\cdot P\left(A|B\right)$

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

  $P\left(A\cap B\right)=0.24\cdot 0.52=0.1248$

Hence, the correct option is (a)