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Zachary has a bag that contains strawberry chews, cherry chews, and peach chews. He performs an experiment. Zachary randomly removes a chew from the bag, records the result, and returns the chew to the bag. Zachary performs the experiment 66 times. The results are shown below: A strawberry chew was selected 61 times. A cherry chew was selected 3 times. A peach chew was selected 2 times. If the experiment is repeated 200 more times, about how many times would you expect Zachary to remove a peach chew from the bag? Round your answer to the nearest whole number. Answer:

Zachary has a bag that contains strawberry chews, cherry chews, and peach chews. He performs an experiment. Zachary randomly removes a chew from the bag, records the result, and returns the chew to the bag. Zachary performs the experiment 6666 times. The results are shown below:\newlineA strawberry chew was selected 6161 times.\newlineA cherry chew was selected 33 times.\newlineA peach chew was selected 22 times.\newlineIf the experiment is repeated 200200 more times, about how many times would you expect Zachary to remove a peach chew from the bag? Round your answer to the nearest whole number.\newlineAnswer:

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Q. Zachary has a bag that contains strawberry chews, cherry chews, and peach chews. He performs an experiment. Zachary randomly removes a chew from the bag, records the result, and returns the chew to the bag. Zachary performs the experiment 6666 times. The results are shown below:\newlineA strawberry chew was selected 6161 times.\newlineA cherry chew was selected 33 times.\newlineA peach chew was selected 22 times.\newlineIf the experiment is repeated 200200 more times, about how many times would you expect Zachary to remove a peach chew from the bag? Round your answer to the nearest whole number.\newlineAnswer:
  1. Determine total number of experiments: Determine the total number of experiments conducted initially. Zachary performed the experiment 6666 times.
  2. Determine peach chew selections: Determine the number of times a peach chew was selected. A peach chew was selected 22 times out of the 6666 experiments.
  3. Calculate experimental probability: Calculate the experimental probability of selecting a peach chew. Experimental probability of selecting a peach chew =Number of times a peach chew was selectedTotal number of experiments=266= \frac{\text{Number of times a peach chew was selected}}{\text{Total number of experiments}} = \frac{2}{66}
  4. Simplify the probability: Simplify the probability.\newlineExperimental probability of selecting a peach chew = 266\frac{2}{66}\newline= 133\frac{1}{33}
  5. Predict outcome of additional experiments: Use the experimental probability to predict the outcome of 200200 additional experiments.\newlineExpected number of times a peach chew will be selected = Probability of selecting a peach chew ×\times Number of additional experiments\newline=(133)×200= \left(\frac{1}{33}\right) \times 200
  6. Perform calculation for expected selections: Perform the calculation to find the expected number of times a peach chew will be selected.\newlineExpected number of times a peach chew will be selected ≈(1/33)×200\approx (1 / 33) \times 200\newline≈6.0606\approx 6.0606
  7. Round expected selections: Round the result to the nearest whole number.\newlineExpected number of times a peach chew will be selected ≈6\approx 6 (rounded to the nearest whole number)

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