The experiment involved tossing three coins simultaneously. The experiment was carried out 200 times, and it was noted that three heads occurred 50 times. What is the difference between the experimental probability of getting three heads and its theoretical probability? Write the answer in the simplest form of fraction.

3 answers

In theoretical probability, the probability of getting three heads when tossing three coins is calculated as (1/2) * (1/2) * (1/2) = 1/8.

Therefore, the theoretical probability of getting three heads is 1/8.

The experimental probability can be calculated by dividing the number of times three heads occurred (50) by the total number of trials (200):

Experimental probability = 50/200 = 1/4.

The difference between the experimental probability and the theoretical probability can be found by subtracting the theoretical probability from the experimental probability:

1/4 - 1/8 = 2/8 - 1/8 = 1/8.

So, the difference between the experimental probability of getting three heads and its theoretical probability is 1/8.
make that more simple
The experimental probability of getting three heads when tossing three coins is 1/4.

The theoretical probability of getting three heads is 1/8.

The difference between the experimental and theoretical probabilities is:

1/4 - 1/8 = 2/8 - 1/8 = 1/8.

Therefore, the difference between the experimental probability of getting three heads and its theoretical probability is 1/8.