henry has a bag that contains strawberry chews, cherry chews, and watermelon chews. he performs an…

henry has a bag that contains strawberry chews, cherry chews, and watermelon chews. he performs an experiment. henry randomly removes a chew from the bag, records the result, and returns the chew to the bag. henry performs the experiment 55 times. the results are shown below:\na strawberry chew was selected 15 times.\na cherry chew was selected 20 times.\na watermelon chew was selected 20 times.\nbased on these results, express the probability that the next chew henry removes from the bag will be cherry or watermelon as a fraction in simplest form.

henry has a bag that contains strawberry chews, cherry chews, and watermelon chews. he performs an experiment. henry randomly removes a chew from the bag, records the result, and returns the chew to the bag. henry performs the experiment 55 times. the results are shown below:\na strawberry chew was selected 15 times.\na cherry chew was selected 20 times.\na watermelon chew was selected 20 times.\nbased on these results, express the probability that the next chew henry removes from the bag will be cherry or watermelon as a fraction in simplest form.

Answer

Explanation:

Step1: Find total number of cherry and watermelon selections

The number of times a cherry chew was selected is 20 and the number of times a watermelon chew was selected is 20. So the total number of cherry - watermelon selections is $20 + 20=40$.

Step2: Calculate the probability

The probability $P$ of an event is given by the number of favorable outcomes divided by the total number of outcomes. The total number of experiments is 55. So the probability that the next chew is cherry or watermelon is $\frac{40}{55}$.

Step3: Simplify the fraction

To simplify $\frac{40}{55}$, find the greatest common divisor (GCD) of 40 and 55. The GCD of 40 and 55 is 5. Divide both the numerator and denominator by 5: $\frac{40\div5}{55\div5}=\frac{8}{11}$.

Answer:

$\frac{8}{11}$