Question

Twenty students choose a piece of fruit from a list of 4 fruits: apple, banana, grape, and pear. The theoretical probability that a student will choose a banana is .25. Only 1 student chooses a banana. How can the experimental probability get closer to the theoretical probability?A. only give two choices of fruitB. use a smaller sample size of studentsC. use a larger sample size of studentsD. provide more choices of fruit

Answer 1

Sampling accuracy is always dependent on the sample size.
The best way of getting the experimental probability closer to the theoretical value is by taking a larger sample.

Sadly the fruit selection is not random but based on student preferences.
Because the fruit are unlikely to have equal appeal to students, the theoretical probability is not valid.

Answer 2

Total number of student 20.

Total number of fruits are 4.

The theoretical probability that a student will choose a banana is 0.25

The experimental probability is 1/20=0.05.

Thus there is a huge difference in the theoritical probability and experimental probability.

Thus the experimental probability get closer to the theoretical probability is:

A. only give two choices of fruit.