type the correct answer in the box. use numerals instead of words, and round your answer to the nearest…

Explanation:

Step1: Find probability of coin - heads

The probability of getting heads when flipping a fair coin is $P(H)=\frac{1}{2}$ since there are 2 possible outcomes (heads or tails) and 1 favorable outcome (heads).

Step2: Find probability of die - even number

A standard six - sided die has 6 possible outcomes ${1,2,3,4,5,6}$. The even numbers are ${2,4,6}$, so the probability of rolling an even number is $P(E)=\frac{3}{6}=\frac{1}{2}$.

Step3: Use multiplication rule for independent events

Since the coin - flip and die - roll are independent events, the probability of both events occurring is the product of their individual probabilities. So $P(H\cap E)=P(H)\times P(E)$. Substitute $P(H)=\frac{1}{2}$ and $P(E)=\frac{1}{2}$ into the formula: $P(H\cap E)=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Step4: Convert to percentage

To convert $\frac{1}{4}$ to a percentage, we multiply by 100: $\frac{1}{4}\times100 = 25%$.

Answer:

25