Question

Micaela has a bag that contains strawberry chews, cherry chews, and watermelon chews. She performs an experiment. Micaela randomly removes a chew from the bag, records the result, and returns the chew to the bag. Micaela performs the experiment 30 times. The results are shown below:

A strawberry chew was selected 9 times.
A cherry chew was selected 15 times.
A watermelon chew was selected 6 times.
If the experiment is repeated 200 more times, about how many times would you expect Micaela to remove a watermelon chew from the bag? Round your answer to the nearest whole number.

Answer 1

To estimate the expected frequency of selecting a watermelon chew in the additional 200 experiments, we can use the proportion of watermelon chews in the initial 30 experiments.

In the initial 30 experiments, the watermelon chews were selected 6 times. The proportion is given by:

Proportion of watermelon chews

=

Number of watermelon chews

Total number of experiments

=

6

30

=

1

5

Proportion of watermelon chews=

Total number of experiments

Number of watermelon chews

=

30

6

=

5

1

Now, if we assume that the proportions will remain roughly the same in the additional 200 experiments, we can apply this proportion to estimate the expected number of watermelon chews in those experiments:

Expected number of watermelon chews in 200 experiments

=

1

5

×

200

Expected number of watermelon chews in 200 experiments=

5

1

×200

=

40

=40

So, Micaela would expect to remove a watermelon chew about 40 times in the additional 200 experiments. Rounded to the nearest whole number, the estimate is 40.