what is the probability of flipping heads and rolling an even number? write your answer as a fraction or a…

what is the probability of flipping heads and rolling an even number? write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

what is the probability of flipping heads and rolling an even number? write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

Answer

Explanation:

Step1: Probability of flipping heads

A coin has 2 sides (heads and tails), so the probability of flipping heads, $P(H)=\frac{1}{2}$.

Step2: Probability of rolling an even number

A die has 6 sides numbered 1 - 6, and the even - numbered sides are 2, 4, 6. So the probability of rolling an even number, $P(E)=\frac{3}{6}=\frac{1}{2}$.

Step3: Probability of both 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 $P = P(H)\times P(E)$. $P=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$

Answer:

$\frac{1}{4}$