Question

You are tossing a coin and rolling a number cube. What is the probability of obtaining tails and rolling a 3? Enter your answer as a fraction. (1 point)
Remaining Attempts : 3

Answer 1

To find the probability of obtaining tails when tossing a coin and rolling a 3 when rolling a number cube, we can calculate the probabilities separately and then multiply them together.

1. **Probability of obtaining tails when tossing a coin:**
- There are 2 outcomes (heads or tails), so the probability of getting tails is:
\[
P(\text{tails}) = \frac{1}{2}
\]

2. **Probability of rolling a 3 on a number cube:**
- A number cube (die) has 6 faces, so the probability of rolling a 3 is:
\[
P(\text{rolling a 3}) = \frac{1}{6}
\]

3. **Combined probability of both events happening:**
- Since the coin toss and the die roll are independent events, we can multiply the probabilities:
\[
P(\text{tails and rolling a 3}) = P(\text{tails}) \times P(\text{rolling a 3}) = \frac{1}{2} \times \frac{1}{6} = \frac{1 \times 1}{2 \times 6} = \frac{1}{12}
\]

Therefore, the probability of obtaining tails and rolling a 3 is \(\frac{1}{12}\).