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 3 and a multiple of 5?

Answer 1

Answer:

The probability that the result is a multiple of 3 and a multiple of 5 will be:

               7/15 = 0.47 ≈ 47%

Step-by-step explanation:

Multiples of $5$:

$5,\:10,15$

Multiples of $3$:

$3, 6, 9, 12, 15$

The outcome result is a multiple of 5 or a multiple of 3 (cancelling the repetitions)

3, 5, 6, 9, 10, 12, and 15

i.e. |A| = 7

As there is a spinner with 15 equal areas, numbered 1 through 15.

so the total possible outcomes = 15

Therefore, the probability that the result is a multiple of 3 and a multiple of 5 will be:

               7/15 = 0.47 ≈ 47%