Answer
$\dfrac{1}{15}$
Work Step by Step
You have the probability of $\dfrac{1}{6}$ for event $A$ and you have the probability of $\dfrac{2}{5}$ for event $B$.
The events are independent. The formula for the probability of independent events is:
$P(A \text{ and } B)=P(A) \cdot P(B)$
Thus, using the formula above gives:
$P(A \text{ and } B)=\dfrac{1}{6}\cdot \dfrac{2}{5}\\\\
P(A \text{ and } B)=\dfrac{1}{15}$
