Question

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 5 or a multiple of 2? answer attempt 1 out of 2

Explanation:

Step1: Find multiples of 5

Multiples of 5 from 1 - 15 are 5, 10, 15. So there are 3 multiples of 5.

Step2: Find multiples of 2

Multiples of 2 from 1 - 15 are 2, 4, 6, 8, 10, 12, 14. So there are 7 multiples of 2.

Step3: Find common multiples

The common multiple of 2 and 5 from 1 - 15 is 10. We have double - counted it once.

Step4: Calculate the number of distinct favorable outcomes

The number of distinct favorable outcomes is \(3 + 7-1=9\).

Step5: Calculate the probability

The total number of outcomes is 15. Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{9}{15}=\frac{3}{5}\).

Answer:

\(\frac{3}{5}\)