A coin is flipped and die is rolled once. What is the probability of flipping a heads on the coin and rolling a 3 on the die? Give your answer as a reduced fraction.

To find the probability of both flipping a heads on a coin and rolling a 3 on a die, we need to calculate the probability of each independent event and then multiply them.

1. **Probability of flipping a heads on the coin:**
   A fair coin has 2 sides: heads and tails. The probability of flipping heads is:

   \[
   P(\text{Heads}) = \frac{1}{2}
   \]

2. **Probability of rolling a 3 on a die:**
   A fair die has 6 sides, numbered 1 through 6. The probability of rolling a 3 is:

   \[
   P(\text{Rolling a 3}) = \frac{1}{6}
   \]

Since these events are independent, the combined probability of both flipping a heads and rolling a 3 is the product of their individual probabilities:

\[
P(\text{Heads and Rolling a 3}) = P(\text{Heads}) \times P(\text{Rolling a 3}) = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}
\]

So, the probability of flipping a heads on the coin and rolling a 3 on the die is:

\[
\boxed{\frac{1}{12}}
\]

Would you like more details or have any questions? Here are 5 related questions you might find interesting:

1. What is the probability of flipping tails and rolling a 4?
2. If a die is rolled twice, what is the probability of getting a 3 on the first roll and a 5 on the second?
3. How does the probability change if the die is biased and the chance of rolling a 3 is different?
4. What is the probability of either flipping a heads or rolling a 3?
5. How many possible outcomes are there when flipping a coin and rolling a die simultaneously?

**Tip:** When dealing with independent events, always multiply their individual probabilities to find the combined probability of both events occurring.

Find the probability of flipping a heads on a coin and rolling a 3 on a die with a detailed solution. This problem covers key probability concepts like independent events and multiplication of probabilities, suitable for students in Grades 6-8.

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