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A board game has a spinner divided into equal sections. Each section is labeled with a number betwee 1 and 5.

Which number is a reasonable estimate of the number of times the spinner will land on a section labeled 5 ov the course of 150 spins?

$15$ . A board game has a spinner divided into equal sections. Each section is labeled with a number betwee $1$ and $5$ . $\newline$ Which number is a reasonable estimate of the number of times the spinner will land on a section labeled $5$ ov the course of $150$ spins?

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Full solution

Q.

15

. A board game has a spinner divided into equal sections. Each section is labeled with a number betwee

1

and

5

.

\newline

Which number is a reasonable estimate of the number of times the spinner will land on a section labeled

5

ov the course of

150

spins?

Determine Probability: Determine the probability of the spinner landing on a section labeled $5$ . Since there are $5$ equal sections, each labeled with a number between $1$ and $5$ , the probability of landing on any one section, including the section labeled $5$ , is $1$ out of $5$ .
Calculate Expected Number: Calculate the expected number of times the spinner will land on the section labeled $5$ over the course of $150$ spins. $\newline$ To find the expected number, multiply the total number of spins by the probability of landing on a section labeled $5$ . $\newline$ Expected number $=$ Probability of landing on $5 \times$ Total number of spins $\newline$ Expected number $= (\frac{1}{5}) \times 150$
Perform Multiplication: Perform the multiplication to find the expected number. $\newline$ Expected number = $(\frac{1}{5}) \times 150 = 30$

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