there is a spinner with 15 equal areas, numbered 1 through 15. if the spinner is spun one time, what is the…

there is a spinner with 15 equal areas, numbered 1 through 15. if the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 5?

there is a spinner with 15 equal areas, numbered 1 through 15. if the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 5?

Answer

Explanation:

Step1: Find multiples of 2 and 5

Multiples of 2 from 1 - 15 are 2, 4, 6, 8, 10, 12, 14 (7 numbers). Multiples of 5 from 1 - 15 are 5, 10, 15 (3 numbers). But 10 is counted twice, so the set of distinct numbers that are multiples of 2 or 5 is (7 + 3-1=9) numbers.

Step2: Calculate probability

The probability (P) of an event is the number of favorable outcomes divided by the total number of outcomes. Here, the total number of outcomes is 15 (since there are 15 equal - areas on the spinner). So (P=\frac{9}{15}=\frac{3}{5}).

Answer:

(\frac{3}{5})