Question

A student decided to run a simulation of rolling an even number with a single die. Use the simulated results from 20 attempts to estimate the probability, then compare your estimation with the theoretical probability.
1 5 3 2 3 6 5 6 3 3 4 4 1 3 6 5 3 2 2 6

The simulated probability os 0.450, which is less than the theoretical probability.
The simulated probability is 0.450, which is more than the theoretical probability.
The simulated probability is 0.333, which is the same as the theoritcal probability.
The simulated probability is 0.167, which is less than the theirutical probability.

Answer 1

Answer: Choice A

The simulated probability probability is 0.450, which is less than the theoretical probability

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Explanation:

In the given list of numbers shown, count how many times an even number comes up. In this case, the even numbers that show up are, in this order: 2, 6, 6, 4, 4, 6, 2, 2, 6

There are 9 even numbers in the list of 20 total. So the simulated probability of getting an even number is 9/20 = 0.450 which is a 45% chance. This is based on this current data set.

If we assumed that each side of the die was equally likely to be landed on, then there are three even numbers (2,4,6) out of six total (1 through 6). So the theoretical probability of getting an even number is 3/6 = 1/2 = 0.500

Comparing 0.450 to 0.500, we see that 0.450 is smaller. You can think of it as like saying "450 is smaller than 500".