Use the General Addition Rule
-Given that $\mathrm { P } ( \mathrm { A }$ or $\mathrm { B } ) = \frac { 1 } { 5 } , \mathrm { P } ( \mathrm { A } ) = \frac { 1 } { 6 }$, and $\mathrm { P } ( \mathrm { A }$ and $\mathrm { B } ) = \frac { 1 } { 8 }$, find $\mathrm { P } ( \mathrm { B } )$.
A) $\frac { 19 } { 120 }$
B) $\frac { 19 } { 240 }$
C) $\frac { 59 } { 120 }$
D) $\frac { 29 } { 120 }$

Question

Quizplus · Accepted Answer

Using the General Addition Rule: $ P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B) $. Plugging in the values: $\frac{1}{5} = \frac{1}{6} + P(B) - \frac{1}{8}$. Solving for $ P(B) $ gives $\frac{19}{120}$.

Use the General Addition Rule -Given That P(A\mathrm { P } ( \mathrm { A }P(A

Use the General Addition Rule
-Given That $\mathrm { P } ( \mathrm { A }$