The two events described in this exercise are rolling a number cube and tossing a coin. Neither of these events affects the probability of the other so these are independent events. If two events are independent, then the probability of both occurring is the product of their individual probabilities.
P(AandB)=P(A)* P(B)
Here, A is a cube landing on 5 or 6 and B is tossing heads. Let's start by calculating the probability of rolling 5 or 6.
P(A)&=2/6 l← 5or6on a number cube ←possible outcomes
Let's now find the probability of the coin landing on heads.
P(B)&=1/2 l←heads on a heads ←possible outcomes
Finally, we multiply P(A) and P(B).
