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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 2 and a multiple of 5 ?
Answer:

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 $2$ and a multiple of $5$ ? $\newline$ Answer:

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Probability of simple events

Full solution

Q. 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

2

and a multiple of

5

?

\newline

Answer:

Identify Numbers: First, we need to identify the numbers on the spinner that are multiples of $2$ and multiples of $5$ . Multiples of $2$ in the range of $1$ to $10$ are $2$ , $4$ , $6$ , $8$ , and $10$ . Multiples of $5$ in the range of $1$ to $10$ are $5$ and $10$ .
Find Common Multiples: Next, we find the common multiples of $2$ and $5$ in the range of $1$ to $10$ . The only number that is a multiple of both $2$ and $5$ is $10$ .
Calculate Probability: Now, we calculate the probability. Since there is only one number ( $10$ ) that is a multiple of both $2$ and $5$ , and there are $10$ possible outcomes when spinning the spinner, the probability is $1$ out of $10$ .
Express as Fraction: To express the probability as a fraction, we write it as $\frac{1}{10}$ . This fraction cannot be simplified further, so it is the final answer.

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