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 its theoretical probability? Write the answer in the simplest form of fraction.
First, let's calculate the theoretical probability of getting three heads when tossing three coins simultaneously.
Since each coin has 2 possible outcomes (heads or tails), the total number of possible outcomes when tossing three coins is 2 * 2 * 2 = 8.
The probability of getting three heads is 1/8 (since there is only 1 way to get three heads out of 8 possible outcomes).
Now, let's calculate the experimental probability of getting three heads.
Out of 100 experiments, three heads occurred 40 times.
The experimental probability of getting three heads is 40/100 = 2/5.
The difference between the experimental probability and theoretical probability is:
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.