Question

Find the probability of the indicated event if P(E) =0.40 and P(F)=0.50,Find P(E or F) if P(E and F) =0.20

Answer 1

Given

`P(E)=0.4,P(F)=0.5,P(E\text{ and F)}=0.2`

Using the rule of probability it follows:

`P(E\text{ or F)}=P(E)+P(F)-P(E\text{ and F)}`

Substituting values gives

`\begin{gathered} P(E\text{ or F)}=0.4+0.5-0.2 \\ P(E\text{ or F)}=0.7 \end{gathered}`

Therefore the answer is P(E or F)=0.7