Question

Compute the following p(A)+p(b) - p(A and B)=(C) select the answer that makes the equation true p(A) + p(b) -p (A and B) = choose one p(A and B), p(A), p(A or B), p(B)

Answer 1

Given the following:

`P(A)+P(B)-P(A\text{ and B\rparen}`

where

`\begin{gathered} P(A)=(4)/(7) \\ P(B)=(3)/(7) \\ P(A\text{ and B\rparen=}(2)/(7) \end{gathered}`

By substituting into the above expression, we have

`\begin{gathered} (4)/(7)+(3)/(7)-(2)/(7) \\ =(4+3-2)/(7) \\ =(5)/(7) \end{gathered}`

Hence, the answer is

`P(A\text{ or B\rparen}`