Flipped 3 pennies and did this 100 times. You got 3 tails 40 times. What is the difference between the experimental probability of getting 3 tails and the theoretical probability? (simplified fraction)

Answer 1

The theoretical probability of getting 3 tails when flipping 3 coins is $(1/2)^3 = 1/8$.

The experimental probability can be calculated by dividing the number of times 3 tails occurred (40 times) by the total number of trials (100 times), so it is 40/100 = 2/5.

The difference between the experimental probability and the theoretical probability is (2/5) - (1/8) = (16/40) - (5/40) = 11/40.