Question

A special 8 sided die is rolled 20 times with these outcomes:

2, 4, 7, 3, 1,5, 4, 6, 3, 8, 6, 2, 5, 2, 6, 1, 7, 4, 5, 6

What is the experimental probability of rolling a 2 or a 4?

Is this number great than or less than the theoretical probability of rolling a 2 or 4?

Explain.

Answer 1

A. 30%

B. Higher

Explanation:

A. What is the experimental probability of rolling a 2 or a 4?

Let's see how many 2s and 4s have been rolled.

Three 2s and three 4s have been rolled,

So, out of the 20 rolls, 6 were a 2 or 4.

That makes that the experimental probability to get a 2 or a 4 is 6 out of 20 rolls, so:

6/20 = 30%

The experimental probability is then of 30%, which is pretty high considering it's an 8-sided die, since it's almost at par with the theoretical probability of a 6-sided die.

B. Is this number great than or less than the theoretical probability of rolling a 2 or 4? Explain.

It's higher. The theoretical probability to get a 2 or 4 would be for it to land on 2 sides out of 8 sides, so 2/8 = 25%.