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Magan has a bag that contains pineapple chews, lemon chews, and watermelon chews. He performs an experiment. Magan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Magan performs the experiment 46 times. The results are shown below:
A pineapple chew was selected 13 times.
A lemon chew was selected 21 times.
A watermelon chew was selected 12 times.
Based on these results, express the probability that the next chew Magan removes from the bag will be pineapple or watermelon as a percent to the nearest whole number.
Answer:

Magan has a bag that contains pineapple chews, lemon chews, and watermelon chews. He performs an experiment. Magan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Magan performs the experiment $46$ times. The results are shown below: $\newline$ A pineapple chew was selected $13$ times. $\newline$ A lemon chew was selected $21$ times. $\newline$ A watermelon chew was selected $12$ times. $\newline$ Based on these results, express the probability that the next chew Magan removes from the bag will be pineapple or watermelon as a percent to the nearest whole number. $\newline$ Answer:

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Experiment design

Full solution

Q. Magan has a bag that contains pineapple chews, lemon chews, and watermelon chews. He performs an experiment. Magan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Magan performs the experiment

46

times. The results are shown below:

\newline

A pineapple chew was selected

13

times.

\newline

A lemon chew was selected

21

times.

\newline

A watermelon chew was selected

12

times.

\newline

Based on these results, express the probability that the next chew Magan removes from the bag will be pineapple or watermelon as a percent to the nearest whole number.

\newline

Answer:

Determine Total Selections: Determine the total number of times a pineapple or watermelon chew was selected. Pineapple chews were selected $13$ times, and watermelon chews were selected $12$ times. To find the total number of times either a pineapple or watermelon chew was selected, we add these two numbers together. $13$ (pineapple) $+$ $12$ (watermelon) $= 25$
Calculate Probability: Calculate the probability of selecting a pineapple or watermelon chew. The probability is the number of favorable outcomes divided by the total number of trials. We have already determined the number of favorable outcomes $25$ , and we know the total number of trials is $46$ . Probability (pineapple or watermelon) = Number of times pineapple or watermelon was selected / Total number of trials Probability (pineapple or watermelon) = $\frac{25}{46}$
Convert to Percent: Convert the probability to a percent. $\newline$ To convert a probability to a percent, we multiply it by $100$ . $\newline$ Percent (pineapple or watermelon) = (Probability (pineapple or watermelon)) $* 100$ $\newline$ Percent (pineapple or watermelon) = $(\frac{25}{46}) \times 100$
Calculate Nearest Whole Percent: Calculate the percent to the nearest whole number. $\newline$ Now we perform the calculation from the previous step. $\newline$ Percent (pineapple or watermelon) $\approx (\frac{25}{46}) \times 100 \approx 54.347826087 \approx 54\%$ (to the nearest whole number)

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