Answer
$\dfrac{2}{7}$ or approximately $28.6$%
Work Step by Step
Use the formula for independent events to find the probability of the events both happening.
The formula is
$P(Q$ $and$ $R)=P(Q)$ $\times$ $P(R)$.
We are given $P(Q)=\dfrac{1}{3}$ and $P(R)=\dfrac{6}{7}$.
Plug the values into the formula:
$P(Q$ $and$ $R)$ = $\dfrac{1}{3}$ $\times$ $\dfrac{6}{7}$
$P(Q$ $and$ $R)$ = $\dfrac{6}{21}$
$P(Q$ $and$ $R)$ = $\dfrac{2}{7}$
$P(Q$ $and$ $R)$ $\approx$ $28.6$%
