Question

there is a spinner with 9 equal areas, numbered 1 through 9. if the spinner is spun one time, what is the probability that the result is a multiple of 3 or a multiple of 2

Answer 1

The probability of getting a multiple of 3 or a multiple of 2 on a spinner with 9 equal areas is 2/3.

Step-by-step explanation:

The spinner has 9 equal areas, numbered 1 through 9. To find the probability of getting a multiple of 3 or a multiple of 2, we need to first determine how many multiples of 3 and multiples of 2 there are in the 9 numbers.

Multiples of 3: 3, 6, 9

Multiples of 2: 2, 4, 6, 8

There are 3 numbers that are multiples of both 3 and 2 (6), which we have counted twice. Therefore, we need to subtract 1 from our count so that we don't double-count it.

So, there are a total of 6 numbers that are multiples of 3 or multiples of 2.

The probability of getting a multiple of 3 or a multiple of 2 is then 6/9, which simplifies to 2/3.