A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color Frequency Red 2 Blue 11 Green 5 Yellow 11 Purple 19 Based on these results, express the probability that the next spin will land on blue or green or purple as a percent to the nearest whole number.

Calculate total spins: Step 1: Calculate the total number of spins by adding up the frequencies of all colors. Calculation: 2 (Red) + 11 (Blue) + 5 (Green) + 11 (Yellow) + 19 (Purple) = 48 spins.Find favorable outcomes: Step 2: Add the frequencies of blue, green, and purple to find the total favorable outcomes. Calculation: 11 (Blue) + 5 (Green) + 19 (Purple) = 35.Calculate probability as fraction: Step 3: Calculate the probability as a fraction of favorable outcomes over total outcomes. Calculation: Probability = 35 / 48.Convert probability to percentage: Step 4: Convert the probability to a percentage. Calculation: (35 / 48) * 100 ≈ 72.92%, rounded to 73%.

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A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color $\quad$ Frequency Red $\quad$ $2$ Blue $\quad$ $11$ Green $\quad$ $5$ Yellow $\quad$ $11$ Purple $\quad$ $\quad$ $0$ Based on these results, express the probability that the next spin will land on blue or green or purple as a percent to the nearest whole number.

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Precalculus

Find probabilities using the binomial distribution

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Q. A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color

\quad

Frequency Red

\quad

2

Blue

\quad

11

Green

\quad

5

Yellow

\quad

11

Purple

\quad

\quad

0

Based on these results, express the probability that the next spin will land on blue or green or purple as a percent to the nearest whole number.

Calculate total spins: Step $1$ : Calculate the total number of spins by adding up the frequencies of all colors. $\newline$ Calculation: $2$ (Red) + $11$ (Blue) + $5$ (Green) + $11$ (Yellow) + $19$ (Purple) = $48$ spins.
Find favorable outcomes: Step $2$ : Add the frequencies of blue, green, and purple to find the total favorable outcomes. $\newline$ Calculation: $11$ (Blue) + $5$ (Green) + $19$ (Purple) = $35$ .
Calculate probability as fraction: Step $3$ : Calculate the probability as a fraction of favorable outcomes over total outcomes. $\newline$ Calculation: Probability = $\frac{35}{48}$ .
Convert probability to percentage: Step $4$ : Convert the probability to a percentage. $\newline$ Calculation: $(\frac{35}{48}) \times 100 \approx 72.92\%$ , rounded to $73\%$ .