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.
Experimental probability of getting three heads: $\frac{40}{100} = \frac{2}{5}$
Theoretical probability of getting three heads when tossing three coins simultaneously:
Each coin has a $\frac{1}{2}$ probability of landing on heads, so the probability of getting three heads is $\left(\frac{1}{2}\right)^3 = \frac{1}{8}$
Difference between experimental and theoretical probability:
$\frac{2}{5} - \frac{1}{8} = \frac{16}{40} - \frac{5}{40} = \frac{11}{40}$
Therefore, the difference between the experimental probability of getting three heads and its theoretical probability is $\frac{11}{40}$.