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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 3 or a multiple of 5 ?
Answer:

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 $3$ or a multiple of $5$ ? $\newline$ Answer:

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Probability of simple events

Full solution

Q. 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

3

or a multiple of

5

?

\newline

Answer:

Identify Multiples: Identify the multiples of $3$ and $5$ within the range of numbers on the spinner ( $1$ through $15$ ). $\newline$ Multiples of $3$ : $3$ , $6$ , $9$ , $12$ , $15$ $\newline$ Multiples of $5$ : $5$ , $5$ $2$ , $15$
Combine Lists: Combine the lists of multiples, making sure to count the common multiple $15$ only once. $\newline$ Combined list of unique multiples: $3$ , $5$ , $6$ , $9$ , $10$ , $12$ , $15$
Count Unique Multiples: Count the number of unique multiples from the combined list. $\newline$ Number of unique multiples: $7$
Calculate Probability: Calculate the probability by dividing the number of unique multiples by the total number of areas on the spinner. $Probability = \frac{\text{Number of unique multiples}}{\text{Total number of areas}}$ $Probability = \frac{7}{15}$

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