Question

Jonathan has a bag that contains strawberry chews, cherry chews, and peach chews.

He performs an experiment. Jonathan randomly removes a chew from the bag,
records the result, and returns the chew to the bag. Jonathan performs the
experiment 57 times. The results are shown below:
A strawberry chew was selected 4 times.
A cherry chew was selected 50 times.
A peach chew was selected 3 times.
If the experiment is repeated 300 more times, about how many times would you
expect Jonathan to remove a cherry chew from the bag? Round your answer to the
nearest whole number.

Answer 1

Based on the results of the first experiment, the probability of selecting a cherry chew is:

P(cherry) = 50/57

To estimate the number of times Jonathan would expect to select a cherry chew in the next 300 trials, we can use the expected value formula:

Expected value = Number of trials x Probability of success

Therefore, the expected number of times Jonathan would expect to select a cherry chew in the next 300 trials is:

Expected value = 300 x P(cherry)
Expected value = 300 x (50/57)
Expected value = 263.16

Rounding to the nearest whole number, we can expect Jonathan to remove a cherry chew from the bag about 263 times in the next 300 trials.