there is a spinner with 13 equal areas, numbered 1 through 13. if the spinner is spun one time, what is the…

there is a spinner with 13 equal areas, numbered 1 through 13. if the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 5?

there is a spinner with 13 equal areas, numbered 1 through 13. if the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 5?

Answer

Explanation:

Step1: Find multiples of 2

The multiples of 2 from 1 - 13 are 2, 4, 6, 8, 10, 12. So there are 6 multiples of 2.

Step2: Find multiples of 5

The multiples of 5 from 1 - 13 are 5, 10. So there are 2 multiples of 5.

Step3: Find common multiples

The common multiple of 2 and 5 from 1 - 13 is 10. We only count it once.

Step4: Calculate total favorable outcomes

The number of favorable outcomes is (6 + 2-1=7) (subtract 1 to avoid double - counting 10).

Step5: Calculate probability

The total number of outcomes is 13. The probability (P=\frac{7}{13}).

Answer:

(\frac{7}{13})