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)
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The experimental probability of getting three heads can be calculated by dividing the number of times three heads occurred (40) by the total number of times the experiment was conducted (100).
Experimental probability = 40/100 = 2/5
The theoretical probability of getting three heads when tossing three coins simultaneously can be calculated using the formula for the probability of independent events:
Theoretical probability = (1/2) * (1/2) * (1/2) = 1/8
The difference between the experimental probability and the 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.