A coin is flipped and a die is rolled. What is the probability of getting heads and rolling a 5?

To find the probability of getting heads on the coin flip and rolling a 5 on the die, we can follow these steps:

1. **Coin Flip**: The probability of getting heads when flipping a coin is:
   \[
   P(\text{Heads}) = \frac{1}{2}
   \]

2. **Die Roll**: The probability of rolling a 5 on a six-sided die is:
   \[
   P(\text{Rolling a 5}) = \frac{1}{6}
   \]

Since the coin flip and die roll are independent events, the probability of both events happening together is the product of their individual probabilities:
\[
P(\text{Heads and Rolling a 5}) = P(\text{Heads}) \times P(\text{Rolling a 5}) = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}
\]

Thus, the probability of getting heads and rolling a 5 is \(\frac{1}{12}\).

Do you want more details or have any questions?

Here are 5 related questions:
1. What is the probability of getting tails and rolling a 3?
2. What is the probability of flipping heads and rolling an even number?
3. How many possible outcomes are there when flipping a coin and rolling a die?
4. If you flip two coins and roll one die, what is the probability of getting two heads and rolling a 6?
5. What is the probability of getting heads and rolling a number less than 4?

**Tip:** When dealing with independent events, the probability of both occurring is the product of their individual probabilities.

Discover how to calculate the probability of getting heads on a coin flip and rolling a 5 on a die. This step-by-step guide explains key probability concepts, including the multiplication rule for independent events. Suitable for Grades 6-8 students.

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