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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 5 and a multiple of 3 ?
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 $5$ and a multiple of $3$ ? $\newline$ 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

5

and a multiple of

3

?

\newline

Answer:

Identify Numbers: Identify the numbers on the spinner that are multiples of $5$ and multiples of $3$ . Multiples of $5$ between $1$ and $15$ are: $5$ , $10$ , $15$ . Multiples of $3$ between $1$ and $15$ are: $3$ , $3$ $2$ , $3$ $3$ , $3$ $4$ , $15$ . Now we need to find the common multiples of both $5$ and $3$ from these lists.
Find Common Multiples: Find the common multiples of $5$ and $3$ from the lists. $\newline$ The common multiples of $5$ and $3$ between $1$ and $15$ are: $15$ . $\newline$ There is only one number that is a multiple of both $5$ and $3$ .
Calculate Probability: Calculate the probability. $\newline$ The probability of an event is given by the number of favorable outcomes divided by the total number of possible outcomes. $\newline$ In this case, there is $1$ favorable outcome (the number $15$ ) and $15$ possible outcomes (the numbers $1$ through $15$ ). $\newline$ Probability = Number of favorable outcomes / Total number of possible outcomes $\newline$ Probability = $\frac{1}{15}$

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