there is a spinner with 10 equal areas, numbered 1 through 10. if the spinner is spun one time, what is the…

there is a spinner with 10 equal areas, numbered 1 through 10. if the spinner is spun one time, what is the probability that the result is a multiple of 5 or a multiple of 2?

there is a spinner with 10 equal areas, numbered 1 through 10. 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

Explanation:

Step1: List multiples of 5 and 2

Multiples of 5 from 1 - 10 are 5, 10. Multiples of 2 from 1 - 10 are 2, 4, 6, 8, 10.

Step2: Find unique elements

The set of numbers that are either a multiple of 5 or a multiple of 2 is {2, 4, 5, 6, 8, 10}, which has 6 elements.

Step3: Calculate probability

The total number of possible outcomes is 10. Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{6}{10}=\frac{3}{5}$.

Answer:

$\frac{3}{5}$