Question

A student is playing a game with two spinners:


Spinner A has 4 equal sections: red, blue, green, yellow.


Spinner B has 8 equal sections: red, blue, green, yellow, orange, purple, white, black.


The student wins if they spin red.

Which statement best compares the probabilities of winning on Spinner A vs. Spinner B?
(4 Points)

The probability of spinning red is the same for both spinners.

It is more likely to spin red on Spinner A than on Spinner B.

It is more likely to spin red on Spinner B than on Spinner A.

It is impossible to spin red on either spinner.

Answer 1

To compare the probabilities of winning (spinning red) on Spinner A and Spinner B, we need to calculate the probability of spinning red on each spinner.

**Spinner A:**
- It has 4 equal sections: red, blue, green, yellow.
- Probability of spinning red = Number of red sections / Total sections = 1/4.

**Spinner B:**
- It has 8 equal sections: red, blue, green, yellow, orange, purple, white, black.
- Probability of spinning red = Number of red sections / Total sections = 1/8.

Now, we can compare the two probabilities:

- Spinner A: \( \frac{1}{4} = 0.25 \)
- Spinner B: \( \frac{1}{8} = 0.125 \)

Since \( \frac{1}{4} > \frac{1}{8} \), it is more likely to spin red on Spinner A than on Spinner B.

Therefore, the correct statement is:

**"It is more likely to spin red on Spinner A than on Spinner B."**