what is the probability of flipping heads and rolling a three? write your answer as a fraction or a whole…

what is the probability of flipping heads and rolling a three? 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 a three? 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 fair - coin has 2 possible outcomes (heads or tails). The probability of flipping heads, $P(H)=\frac{1}{2}$.

Step2: Probability of rolling a three

A fair - die has 6 possible outcomes (1, 2, 3, 4, 5, 6). The probability of rolling a three, $P(3)=\frac{1}{6}$.

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 $P(H\cap3)=P(H)\times P(3)=\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$.

Answer:

$\frac{1}{12}$