Question

The following values are the results from a simulation for rolling a standard die 24 times. Use the simulated results to estimate the probability of rolling either a 2 or a 3. How does this compare to the theoretical probability of rolling either of these numbers?
6 6 2 3 6 1 2 5 5 5 3 5 1 4 2 4 5 2 3 2 1 6 2 6

The simulated probability is 0.375, which is more than the theoretical probability.
The simulated probability is 0.533, which is more than the theoretical probability.
The simulated probability is 0.333, which is the same as the theoretical probability.
The simulated probability is 0.600, which is the same as the theoretical probability.

Answer 1

Answer:

The simulated probability is 0.375, which is more than the theoretical probability.

Step-by-step explanation:

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Answer 2

Answer: Choice A

The simulated probability is 0.375, which is more than the theoretical probability.

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Explanation:

The given list of numbers is

6 6 2 3 6 1 2 5 5 5 3 5 1 4 2 4 5 2 3 2 1 6 2 6

In this list, count how many times either a "2" or a "3" shows up. In this case, "2" shows up 6 times, "3" shows up 3 times, so we have a total of 6+3 = 9 occurences of a "2" or a "3". This is out of 24 times total, so 9/24 = 3/8 = 0.375 is the simulated probability (aka empirical probability)

The theoretical probability of rolling a "2" or "3" is 2/6 = 1/3 = 0.333 because there are 2 numbers out of 6 total

Compare 0.375 to 0.333 and we see that the simulated probability 0.375 is larger than the theoretical probability.