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Chase has a bag that contains pineapple chews, cherry chews, and watermelon chews. He performs an experiment. Chase randomly removes a chew from the bag, records the result, and returns the chew to the bag. Chase performs the experiment 56 times. The results are shown below: A pineapple chew was selected 22 times. A cherry chew was selected 22 times. A watermelon chew was selected 12 times. Based on these results, express the probability that the next chew Chase removes from the bag will be a flavor other than pineapple as a decimal to the nearest hundredth. Answer:

Chase has a bag that contains pineapple chews, cherry chews, and watermelon chews. He performs an experiment. Chase randomly removes a chew from the bag, records the result, and returns the chew to the bag. Chase performs the experiment 5656 times. The results are shown below:\newlineA pineapple chew was selected 2222 times.\newlineA cherry chew was selected 2222 times.\newlineA watermelon chew was selected 1212 times.\newlineBased on these results, express the probability that the next chew Chase removes from the bag will be a flavor other than pineapple as a decimal to the nearest hundredth.\newlineAnswer:

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Full solution

Q. Chase has a bag that contains pineapple chews, cherry chews, and watermelon chews. He performs an experiment. Chase randomly removes a chew from the bag, records the result, and returns the chew to the bag. Chase performs the experiment 5656 times. The results are shown below:\newlineA pineapple chew was selected 2222 times.\newlineA cherry chew was selected 2222 times.\newlineA watermelon chew was selected 1212 times.\newlineBased on these results, express the probability that the next chew Chase removes from the bag will be a flavor other than pineapple as a decimal to the nearest hundredth.\newlineAnswer:
  1. Determine non-pineapple chews: Determine the total number of times a chew was selected that was not pineapple. Since a pineapple chew was selected 2222 times, and the total number of experiments was 5656, we subtract the number of pineapple chews from the total to find the number of non-pineapple chews. Total number of experiments - Number of times pineapple chew was selected = Number of non-pineapple chews 56−22=3456 - 22 = 34
  2. Calculate probability: Calculate the probability of selecting a non-pineapple chew. The probability is the number of successful outcomes (non-pineapple chews) divided by the total number of possible outcomes (total experiments). Probability = Number of non-pineapple chewsTotal number of experiments\frac{\text{Number of non-pineapple chews}}{\text{Total number of experiments}} Probability = 3456\frac{34}{56}
  3. Convert to decimal: Convert the probability to a decimal.\newlineTo convert the fraction to a decimal, we divide the numerator by the denominator.\newline34÷56≈0.607134 \div 56 \approx 0.6071
  4. Round to nearest hundredth: Round the decimal to the nearest hundredth.\newlineRounding 0.60710.6071 to the nearest hundredth gives us 0.610.61.

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