Aria has a bag that contains strawberry chews, lemon chews, and watermelon chews. She performs an experiment. Aria randomly removes a chew from the bag, records the result, and returns the chew to the bag. Aria performs the experiment 44 times. The results are shown below:A strawberry chew was selected 7 times.A lemon chew was selected 16 times.A watermelon chew was selected 21 times.Based on these results, express the probability that the next chew Aria removes from the bag will be a flavor other than watermelon as a percent to the nearest whole number.Answer:
Q. Aria has a bag that contains strawberry chews, lemon chews, and watermelon chews. She performs an experiment. Aria randomly removes a chew from the bag, records the result, and returns the chew to the bag. Aria performs the experiment 44 times. The results are shown below:A strawberry chew was selected 7 times.A lemon chew was selected 16 times.A watermelon chew was selected 21 times.Based on these results, express the probability that the next chew Aria removes from the bag will be a flavor other than watermelon as a percent to the nearest whole number.Answer:
Calculate Total Non-Watermelon Selections: To find the probability of selecting a flavor other than watermelon, we first need to determine the total number of times a flavor other than watermelon was selected. This is the sum of the times a strawberry chew and a lemon chew were selected.Calculation: 7 (strawberry) + 16 (lemon) = 23
Find Total Number of Experiments: Next, we need to find the total number of experiments to understand the total number of outcomes. This is given as 44, which is the sum of all the chews selected.Calculation: 7 (strawberry) + 16 (lemon) + 21 (watermelon) = 44
Calculate Probability of Non-Watermelon Selection: Now, we calculate the probability of selecting a flavor other than watermelon by dividing the number of times a flavor other than watermelon was selected by the total number of experiments.Calculation: Probability = 4423
Convert Probability to Percentage: To express this probability as a percentage, we multiply the fraction by 100. Calculation: (23/44)×100=52.2727…
Round to Nearest Whole Number: Finally, we round the result to the nearest whole number to get the percentage.Calculation: 52.2727…≈52%