## Related questions with answers

Question

Events A and B are independent. Find the missing probability.

$P ( \mathrm { A } ) = \frac { 2 } { 5 }$

,

$P ( \mathrm { B } ) = \frac { 1 } { 6 }$

, P(A and B)=___

Solution

VerifiedStep 1

1 of 2If two events are independent, then $P(A\text{ and }B)=P(A)\cdot P(B)$. Since $P(A)=\dfrac{2}{5}$ and $P(B)=\dfrac{1}{6}$, then $P(A\text{ and }B)=\dfrac{2}{5}\cdot\dfrac{1}{6}=\dfrac{2}{30}=\dfrac{1}{15}$.

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