Question

A student decides 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

Answer 1

Answer:

Practical probability:  9 / 20 = 45%

Theoretical probability: 3 / 6 = 50%

Step-by-step explanation:

So, we have 20 rolls:

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

Out of which we have 9 even numbers: 2 6 6 4 4 6 2 2 6

So, the practical probability is 9 / 20 or 45%

The theoretical probability is:

Possible outcomes (6): 1 2 3 4 5 6

Even numbers possible (3): 2 4 6

P = 3 / 6 = 50%

The practical probability is a bit lower (45%) than the theoretical probability (50%) but that's most probably due to the low number of rolls, it's just one roll away from being on target.  With a greater number of rolls, the student would get closer to the theoretical probability.