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If you spin the spinner $6$ times, what is the best prediction possible for the number of times it will land on green or pink? $\newline$ $\newline$ _____ times

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Full solution

Q. If you spin the spinner

6

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

\newline

\newline

_____ times

Calculate Probability: First, let's figure out the probability of the spinner landing on green or pink. Suppose the spinner has $8$ equal sections, $3$ are green, and $2$ are pink.
Total Favorable Outcomes: Calculate the total favorable outcomes for landing on green or pink: $3$ (green) + $2$ (pink) = $5$ .
Calculate Probability: Calculate the probability of landing on either green or pink: $P(\text{green or pink}) = \frac{5 \text{ favorable outcomes}}{8 \text{ total outcomes}} = \frac{5}{8}$ .
Predict Number of Spins: Now, we need to predict how many times it will land on green or pink if spun $6$ times. Expected number $= \text{Probability} \times \text{Number of spins} = \frac{5}{8} \times 6 = 3.75.$
Round to Nearest Whole Number: Since we can't have a fraction of a spin landing on a color, we round $3.75$ to the nearest whole number, which is $4$ .

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