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? Write the answer in the simplest form of fraction
The theoretical probability of getting three heads when tossing three coins simultaneously can be calculated using the formula:
Theoretical probability = (Probability of getting a head) * (Probability of getting a head) * (Probability of getting a head) = (1/2) * (1/2) * (1/2) = 1/8
The experimental probability of getting three heads can be calculated by dividing the number of times three heads occurred by the total number of trials:
Experimental probability = Number of times three heads occurred / Total number of trials = 40/100 = 2/5
Therefore, the difference between the experimental probability and theoretical probability is:
2/5 - 1/8 = 16/40 - 5/40 = 11/40
So, the difference between the experimental probability of getting three heads and its theoretical probability is 11/40.