Question

Find the probability of the indicated event if $P\left(A\right)=0.25andP\left(B\right)=0.45$

$P(A\cap B)ifP(A\cup B)=0.6$

Short answer

The probability is$0.1$

Step-by-step solution

Step 1. Given Information 

The given data is$P\left(A\right)=0.25,P\left(B\right)=0.45,P(A\cup B)=0.6$

Step 2. Calculation  

Substitute the given values in the formula to find the required value,

$$\begin{gathered} P(A\cup B)=P\left(A\right)+P\left(B\right)-P(A\cap B) \\ P(A\cap B)=P\left(A\right)+P\left(B\right)-P(A\cup B) \\ P(A\cap B)=0.25+0.45-0.6 \\ P(A\cap B)=0.1 \end{gathered}$$