there is a spinner with 8 equal areas, numbered 1 through 8. if the spinner is spun one time, what is the…

there is a spinner with 8 equal areas, numbered 1 through 8. if the spinner is spun one time, what is the probability that the result is a multiple of 2 and a multiple of 3?

there is a spinner with 8 equal areas, numbered 1 through 8. if the spinner is spun one time, what is the probability that the result is a multiple of 2 and a multiple of 3?

Answer

Explanation:

Step1: Identify favorable outcomes

Numbers from 1 - 8 that are multiples of 2 and 3 are found by finding the common - multiples. Multiples of 2: 2, 4, 6, 8. Multiples of 3: 3, 6. The common multiple is 6. So there is 1 favorable outcome.

Step2: Calculate total outcomes

The spinner has 8 equal - areas numbered 1 through 8, so the total number of possible outcomes is 8.

Step3: Calculate probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, $P=\frac{1}{8}$.

Answer:

$\frac{1}{8}$