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If you spin the spinner $8$ times, what is the best prediction possible for the number of times it will land on blue or yellow? $\newline$ Choices: $\newline$ (A) $8$ $\newline$ (B) $7$ $\newline$ (C) $4$ $\newline$ (D) $6$

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Full solution

Q. If you spin the spinner

8

times, what is the best prediction possible for the number of times it will land on blue or yellow?

\newline

Choices:

\newline

(A)

8

\newline

(B)

7

\newline

(C)

4

\newline

(D)

6

Calculate Probability: First, we need to know the probability of the spinner landing on blue or yellow. Let's assume the spinner has equal sections for blue, yellow, red, and green. So, the probability of landing on either blue or yellow is $\frac{1}{2}$ (since $2$ out of $4$ colors are blue or yellow).
Find Expected Number: Next, to find the expected number of times it will land on blue or yellow in $8$ spins, we multiply the total spins by the probability of landing on blue or yellow. Calculation: $8$ spins $\times \frac{1}{2} = 4$ times.
Check Closest Choice: Now, we check the choices given to see which is closest to our calculation of $4$ . The choices are $(A) 8$ , $(B) 7$ , $(C) 4$ , $(D) 6$ . Clearly, choice $(C)$ matches our calculation.

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