The experiment involved, 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 it’s theoretical probability? Write the answer in the simplest form of fraction.

Answer 1

The theoretical probability of getting three heads when tossing three coins simultaneously is:
P(head) = 1/2 (since there are 2 possible outcomes for each coin toss, head or tail)
P(all heads) = P(head) * P(head) * P(head) = (1/2)^3 = 1/8

The experimental probability of getting three heads in this experiment is 40/100 = 2/5

The difference between the experimental probability and the 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.