Solution

 

c. To show that $P(A \cup B)=P(A) + P(B) -P(A \cap B)$ :

$$$$\begin{align*} P(A \cup B)&= 0.67\\ P(A) + P(B) -P(A \cap B) &=0.40 + 0.37 -0.10\\ &=0.67 \end{align*}

Answer

Use the values obtained in Exercise 4.56 to show that the equalities hold.