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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:

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: $\newline$ A strawberry chew was selected $7$ times. $\newline$ A lemon chew was selected $16$ times. $\newline$ A watermelon chew was selected $21$ times. $\newline$ 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. $\newline$ Answer:

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Experimental probability

Full solution

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:

\newline

A strawberry chew was selected

7

times.

\newline

A lemon chew was selected

16

times.

\newline

A watermelon chew was selected

21

times.

\newline

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.

\newline

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. $\newline$ 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. $\newline$ 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. $\newline$ Calculation: Probability = $\frac{23}{44}$
Convert Probability to Percentage: To express this probability as a percentage, we multiply the fraction by $100$ . Calculation: $(23 / 44) \times 100 = 52.2727\ldots$
Round to Nearest Whole Number: Finally, we round the result to the nearest whole number to get the percentage. $\newline$ Calculation: $52.2727\ldots \approx 52\%$

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