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

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

Answer

Answer:

$\frac{1}{12}$

Explanation:

Step1: Probability of flipping heads

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

Step2: Probability of rolling a six

The probability of rolling a six on a fair six - sided die is $P(6)=\frac{1}{6}$ since there are 6 possible outcomes (1, 2, 3, 4, 5, 6) and 1 favorable outcome (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 $P(H\cap6)=P(H)\times P(6)=\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$.