here are six sides on a balanced die. Each side is numbered 1 through 6. Jimmy is planning on doing an experiment where he would roll a die 400 times. In theory which of the following should Jimmy expect to get after finishing his experiment?

Question

A.
Jimmy should roll more ones than any other number.

B.
Jimmy should roll more fives and sixes than any other number.

C.
Jimmy should roll approximately the same amount of all numbers on the die.

D.
Jimmy should roll odd numbers less than even numbers.

Answer 1

In a balanced die, each side (numbered 1 through 6) has an equal probability of landing face up. When rolling a fair die multiple times, we expect the outcomes to be evenly distributed among the six sides over a large number of rolls.

Given that Jimmy is planning to roll the die 400 times, he should expect the results to be approximately uniform. Therefore, he should roll each number (1, 2, 3, 4, 5, and 6) roughly the same number of times.

So, the correct answer is:

C. Jimmy should roll approximately the same amount of all numbers on the die.