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Jamal has a bag that contains orange chews, apple chews, and peach chews. He performs an experiment. Jamal randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jamal performs the experiment 33 times. The results are shown below: A orange chew was selected 15 times. A apple chew was selected 4 times. A peach chew was selected 14 times. Based on these results, express the probability that the next chew Jamal removes from the bag will be a flavor other than peach as a decimal to the nearest hundredth. Answer:

Jamal has a bag that contains orange chews, apple chews, and peach chews. He performs an experiment. Jamal randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jamal performs the experiment 3333 times. The results are shown below:\newlineA orange chew was selected 1515 times.\newlineA apple chew was selected 44 times.\newlineA peach chew was selected 1414 times.\newlineBased on these results, express the probability that the next chew Jamal removes from the bag will be a flavor other than peach as a decimal to the nearest hundredth.\newlineAnswer:

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Q. Jamal has a bag that contains orange chews, apple chews, and peach chews. He performs an experiment. Jamal randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jamal performs the experiment 3333 times. The results are shown below:\newlineA orange chew was selected 1515 times.\newlineA apple chew was selected 44 times.\newlineA peach chew was selected 1414 times.\newlineBased on these results, express the probability that the next chew Jamal removes from the bag will be a flavor other than peach as a decimal to the nearest hundredth.\newlineAnswer:
  1. Calculate Total Chews Selected: Determine the total number of chews selected in the experiment.\newlineTotal number of chews selected == Number of orange chews ++ Number of apple chews ++ Number of peach chews\newlineTotal number of chews selected =15= 15 (orange) +4+ 4 (apple) +14+ 14 (peach)\newlineTotal number of chews selected =33= 33
  2. Calculate Probability (not peach): Calculate the probability of selecting a chew that is not peach.Probability (not peach)=Number of orange chews+Number of apple chewsTotal number of chews selected\text{Probability (not peach)} = \frac{\text{Number of orange chews} + \text{Number of apple chews}}{\text{Total number of chews selected}}Probability (not peach)=15+433\text{Probability (not peach)} = \frac{15 + 4}{33}Probability (not peach)=1933\text{Probability (not peach)} = \frac{19}{33}
  3. Convert to Decimal: Convert the probability to a decimal.\newlineProbability (not peach) as a decimal = 1933≈0.5757575757575758\frac{19}{33} \approx 0.5757575757575758
  4. Round to Nearest Hundredth: Round the decimal to the nearest hundredth.\newlineRounded probability (not peach) = 0.580.58

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