Question

Jayden has a bag that contains orange chews, cherry chews, and watermelon chews. He performs an experiment. Jayden randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jayden performs the experiment 54 times. The results are shown below:

A orange chew was selected 18 times.
A cherry chew was selected 4 times.
A watermelon chew was selected 32 times.

If the experiment is repeated 1400 more times, about how many times would you expect Jayden to remove a watermelon chew from the bag? Round your answer to the nearest whole number.

Answer 1

To estimate the number of times Jayden would expect to remove a watermelon chew from the bag, we can use the concept of probability. In the first 54 trials, Jayden selected a watermelon chew 32 times. So, the probability of selecting a watermelon chew in these 54 trials is 32/54, which is approximately 0.5926. If Jayden is to repeat the experiment 1400 more times, we can use this probability to estimate the number of times a watermelon chew would be selected. We multiply the probability by the number of additional trials: 0.5926 * 1400 = 829.64. Rounding to the nearest whole number, we can expect Jayden to remove a watermelon chew from the bag approximately 830 times in the additional 1400 trials.

Step-by-step explanation:

To estimate the number of times Jayden would expect to remove a watermelon chew from the bag, we can use the concept of probability. In the first 54 trials, Jayden selected a watermelon chew 32 times. So, the probability of selecting a watermelon chew in these 54 trials is 32/54, which is approximately 0.5926.

If Jayden is to repeat the experiment 1400 more times, we can use this probability to estimate the number of times a watermelon chew would be selected. We multiply the probability by the number of additional trials: 0.5926 * 1400 = 829.64.

Rounding to the nearest whole number, we can expect Jayden to remove a watermelon chew from the bag approximately 830 times in the additional 1400 trials.