Question

Aidan will roll a fair 10-sided number die showing the numbers 1 – 10.

If Aidan rolls the number die exactly 300 times, which statement is the best
prediction about the outcome?

A. Aiden should expect a multiple of 3 to be rolled 100 times.
B. Aiden should expect a 2 to be rolled 60 times.
C. Aidan should expect a multiple of 2 to be rolled 150 times.
D. Aiden should expect a 4 to be rolled 75 times.

Answer 1

The best prediction about the outcome of rolling a fair 10-sided die exactly 300 times is that each number will be rolled approximately 30 times.

Step-by-step explanation:

To predict the outcome of rolling a fair 10-sided die exactly 300 times, we can use the concept of probability. The probability of rolling a specific number on a fair 10-sided die is 1/10 or 0.1. Therefore, the expected number of times a specific number will be rolled in 300 rolls is 0.1 * 300 = 30.

For option A, a multiple of 3 can be rolled 3, 6, 9, or 10 times, not necessarily 100 times. Option B suggests that the number 2 will be rolled exactly 60 times, which is not the expected outcome since the probability of rolling a 2 is 0.1. Option C states that a multiple of 2 will be rolled 150 times, which is not likely as there are only 10 rolls available in total. Option D suggests that the number 4 will be rolled exactly 75 times, which is also not the expected outcome. Therefore, the best prediction about the outcome is that each number on the fair 10-sided die will be rolled approximately 30 times.

Answer 2

Aiden should expect a multiple of 2 to be rolled 150 times.

Step-by-step explanation:

300 can be divided evenly 2 times.