The experiment involves tossing three coins simultaneously the experiment was carried out 100 times and it was noted that three heads occurred 40 times. What is the difference between the experimental probability of getting three heads, and its theoretical probability, brought the answer and simplest form of a fraction
The theoretical probability of getting three heads when tossing three coins simultaneously is calculated by multiplying the probability of getting a head on a single coin toss three times, which is (1/2) * (1/2) * (1/2) = 1/8.
The experimental probability of getting three heads is calculated by taking the number of times three heads occurred (40) and dividing it by the total number of trials (100), which is 40/100 = 2/5.
The difference between the experimental probability and theoretical probability is calculated as follows:
2/5 - 1/8 = 16/40 - 5/40 = 11/40.
Therefore, the difference between the experimental probability of getting three heads and its theoretical probability is 11/40 in simplest form.