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Violet has a bag that contains strawberry chews, apple chews, and peach chews. She performs an experiment. Violet randomly removes a chew from the bag, records the result, and returns the chew to the bag. Violet performs the experiment 44 times. The results are shown below: A strawberry chew was selected 3 times. A apple chew was selected 17 times. A peach chew was selected 24 times. Based on these results, express the probability that the next chew Violet removes from the bag will be strawberry or peach as a decimal to the nearest hundredth. Answer:

Violet has a bag that contains strawberry chews, apple chews, and peach chews. She performs an experiment. Violet randomly removes a chew from the bag, records the result, and returns the chew to the bag. Violet performs the experiment 4444 times. The results are shown below:\newlineA strawberry chew was selected 33 times.\newlineA apple chew was selected 1717 times.\newlineA peach chew was selected 2424 times.\newlineBased on these results, express the probability that the next chew Violet removes from the bag will be strawberry or peach as a decimal to the nearest hundredth.\newlineAnswer:

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Q. Violet has a bag that contains strawberry chews, apple chews, and peach chews. She performs an experiment. Violet randomly removes a chew from the bag, records the result, and returns the chew to the bag. Violet performs the experiment 4444 times. The results are shown below:\newlineA strawberry chew was selected 33 times.\newlineA apple chew was selected 1717 times.\newlineA peach chew was selected 2424 times.\newlineBased on these results, express the probability that the next chew Violet removes from the bag will be strawberry or peach as a decimal to the nearest hundredth.\newlineAnswer:
  1. Calculate Total Selections: Determine the total number of times a strawberry or peach chew was selected. Strawberry chews were selected 33 times, and peach chews were selected 2424 times. To find the total number of times either a strawberry or peach chew was selected, we add these two numbers together. 33 (strawberry) + 2424 (peach) = 2727
  2. Calculate Probability: Calculate the probability of selecting a strawberry or peach chew. The probability is the number of favorable outcomes divided by the total number of trials. We already know that the favorable outcomes (strawberry or peach chews) occurred 2727 times, and the total number of trials is 4444. Probability (strawberry or peach) = Number of times strawberry or peach was selected / Total number of trials Probability (strawberry or peach) = 2744\frac{27}{44}
  3. Convert to Decimal: Convert the probability to a decimal.\newlineTo convert the fraction to a decimal, we divide 2727 by 4444.\newline27÷44≈0.613627 \div 44 \approx 0.6136
  4. Round to Nearest Hundredth: Round the decimal to the nearest hundredth.\newlineTo round to the nearest hundredth, we look at the third decimal place. Since the third decimal place is a 33, we do not round up the second decimal place.\newline0.61360.6136 rounded to the nearest hundredth is 0.610.61.

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