Question

Ari flips a coin and spins a spinner that is equally divided into 5 colors - blue, red, green, yellow, and purple. What is the probability of flipping tails and spinning purple?(1 point)
Responses

110
1 tenth

17
1 seventh

15
1 fifth

27

Answer 1

To find the probability of two independent events both occurring, you multiply the probabilities of each event.

1. **Probability of flipping tails:** A fair coin has two sides (heads and tails), so the probability of flipping tails is:
\[
P(\text{tails}) = \frac{1}{2}
\]

2. **Probability of spinning purple:** The spinner is divided into 5 equal sections (blue, red, green, yellow, and purple). The probability of landing on purple is:
\[
P(\text{purple}) = \frac{1}{5}
\]

Now, we multiply the probabilities of the two independent events:
\[
P(\text{tails and purple}) = P(\text{tails}) \times P(\text{purple}) = \frac{1}{2} \times \frac{1}{5} = \frac{1}{10}
\]

Thus, the probability of flipping tails and spinning purple is:
\[
\frac{1}{10}
\]

So the correct answer is:
**1 tenth**.