Question

Sonja is spinning a spinner with 15 equal sectors labeled 1 through 15.

What is P(multiple of 6)?

Responses

215
2 over 15

35
3 over 5

415
4 over 15

25
2 over 5

Answer 1

To find the probability \( P(\text{multiple of } 6) \) when spinning a spinner with 15 equal sectors labeled from 1 to 15, we first need to identify the multiples of 6 within that range.

The multiples of 6 that are less than or equal to 15 are:
- 6
- 12

Thus, there are 2 multiples of 6 (6 and 12) within the 15 sectors.

The total number of outcomes when spinning the spinner is 15, because there are 15 sectors in total.

Now, we can calculate the probability \( P(\text{multiple of } 6) \):
\[
P(\text{multiple of } 6) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}} = \frac{2}{15}
\]

Among the answer choices provided, the correct response is:
\[
\frac{2}{15}
\]