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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 4646 times. The results are shown below:\newlineA pineapple chew was selected 1313 times.\newlineA lemon chew was selected 2121 times.\newlineA watermelon chew was selected 1212 times.\newlineBased 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.\newlineAnswer:

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 4646 times. The results are shown below:\newlineA pineapple chew was selected 1313 times.\newlineA lemon chew was selected 2121 times.\newlineA watermelon chew was selected 1212 times.\newlineBased 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.\newlineAnswer:
  1. Determine Total Selections: Determine the total number of times a pineapple or watermelon chew was selected. Pineapple chews were selected 1313 times, and watermelon chews were selected 1212 times. To find the total number of times either a pineapple or watermelon chew was selected, we add these two numbers together. 1313 (pineapple) ++ 1212 (watermelon) =25= 25
  2. 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 2525, and we know the total number of trials is 4646. Probability (pineapple or watermelon) = Number of times pineapple or watermelon was selected / Total number of trials Probability (pineapple or watermelon) = 2546\frac{25}{46}
  3. Convert to Percent: Convert the probability to a percent.\newlineTo convert a probability to a percent, we multiply it by 100100.\newlinePercent (pineapple or watermelon) = (Probability (pineapple or watermelon)) 100* 100\newlinePercent (pineapple or watermelon) = (2546)×100(\frac{25}{46}) \times 100
  4. Calculate Nearest Whole Percent: Calculate the percent to the nearest whole number.\newlineNow we perform the calculation from the previous step.\newlinePercent (pineapple or watermelon) (2546)×10054.34782608754%\approx (\frac{25}{46}) \times 100 \approx 54.347826087 \approx 54\% (to the nearest whole number)

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