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

1/10

1/7

1/5

2/7

Answer 1

To find the probability of both flipping tails and spinning purple, we need to calculate the probability of each event occurring independently and then multiply those probabilities together.

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

2. **Probability of spinning purple:** The spinner has 5 equally divided colors (blue, red, green, yellow, and purple), so the probability of spinning purple is:
\[
P(\text{Purple}) = \frac{1}{5}
\]

Now, we multiply the probabilities of each independent event:
\[
P(\text{Tails and Purple}) = P(\text{Tails}) \times P(\text{Purple}) = \frac{1}{2} \times \frac{1}{5} = \frac{1}{10}
\]

So, the probability of flipping tails and spinning purple is \(\frac{1}{10}\).

**The correct answer is: 1/10**