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 5 or a multiple of 2?

Respuesta :

Answer:

67%

Step-by-step explanation:

The multiples of 2 between 1 and 15 are

2, 4, 6, 8, 10, 12, 14

The multiples of 5 are

5, 10, 15

So, there are seven multiples of 2 and three multiples of 5.

The probability of getting a multiple of 2 is

[tex]P=\frac{7}{15}= 0.47 (or \ 47\%)[/tex]

The probability of getting a multiple of 5 is

[tex]P=\frac{3}{15}=0.2 (or \ 20\%)[/tex]

Now, the probability of getting a multiple of 2 or 5 is

[tex]P=0.47+0.20=0.67 (or \ 67\%)[/tex]

Therefore, the answer is 67%.

Remember that the probability of one event happening OR another event happening is the sum of the probabilities of those events.