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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)

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 class=

Answer :

Solution:

Given the following:

[tex]P(A)+P(B)-P(A\text{ and B\rparen}[/tex]

where

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

By substituting into the above expression, we have

[tex]\begin{gathered} \frac{4}{7}+\frac{3}{7}-\frac{2}{7} \\ =\frac{4+3-2}{7} \\ =\frac{5}{7} \end{gathered}[/tex]

Hence, the answer is

[tex]P(A\text{ or B\rparen}[/tex]

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