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?

Answer 1

The theoretical probability of obtaining three heads in a single toss of three coins is 1/8 or 0.125 (1/2 * 1/2 * 1/2).

The experimental probability can be calculated by dividing the number of outcomes where three heads occurred (40) by the total number of trials (100):

Experimental Probability = Number of favorable outcomes / Total number of outcomes
Experimental Probability = 40/100
Experimental Probability = 0.4

The difference between the experimental and theoretical probabilities is:

0.4 - 0.125 = 0.275

Therefore, the difference between the experimental probability of getting three heads and its theoretical probability is 0.275 or 27.5%.