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. (1 point)
The theoretical probability of getting three heads when tossing three coins simultaneously is calculated by finding the probability of getting a head on each individual coin, and then multiplying those probabilities together.
Each coin has a 1/2 chance of landing on heads, so the probability of getting three heads is (1/2) * (1/2) * (1/2) = 1/8.
The experimental probability of getting three heads is found by dividing the number of times three heads occurred (40) by the total number of experiments (100), which is 40/100 = 2/5.
The difference between the experimental probability and the theoretical probability is (1/8) - (2/5).
To find a common denominator for these fractions, we can multiply (1/8) by (5/5) and (2/5) by (8/8), which gives us (5/40) - (16/40).
Thus, the difference between the experimental probability and the theoretical probability is (5/40) - (16/40) = -11/40.