Applying the Multiplication Rule for Probability Practice Test

A card is drawn first from a standard 52-card deck and kept out (no replacement). Event $A$ is “the first card is a heart,” and event $B$ is “the second card is a heart.” Given $P(A)=\frac{13}{52}$ and $P(B\mid A)=\frac{12}{51}$, what is the probability that both events occur, $P(A\cap B)$?

In a sequential game, a player must complete two actions. First, they land on a target (event $A$) with probability $P(A)=0.30$. Then, given they landed on the target, they score a bonus (event $B$) with probability $P(B\mid A)=0.60$. What is the probability that both events occur, $P(A\cap B)$?