Question

A coin is flipped twice and then a six-sided die is rolled. Report your answers as reduced fractions What is the probability of getting exactly one head and rolling a 2 or a 4 ?

Answer 1

The probability of getting exactly one head in two coin flips and rolling a 2 or a 4 on a six-sided die is 1/6.

Step-by-step explanation:

The student asks about the probability of getting exactly one head when flipping a coin twice and rolling either a 2 or a 4 on a six-sided die. First, we calculate the probability of getting one head in two coin flips, which is 2/4 or 1/2 because the combinations are HT and TH. Next, we find the probability of rolling a 2 or a 4. There are 6 outcomes when rolling a die, and two of them are favorable (2 and 4), so this probability is 2/6 or 1/3. To find the total probability of both events happening, we use the product rule and multiply the probabilities: (1/2) x (1/3) = 1/6. Thus, the probability of getting exactly one head and rolling a 2 or a 4 on a die is 1/6.