Question

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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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the theoretical probability of getting three heads when tossing three coins simultaneously, we need to consider the total possible outcomes.

When tossing three coins, each coin has 2 possible outcomes (head or tail). So, the total number of possible outcomes when tossing three coins is 2 * 2 * 2 = 8.

The probability of getting three heads in this case is 1/8.

Experimental probability = Number of times three heads occurred / Total number of trials
Experimental probability = 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

Therefore, the difference between the experimental probability of getting three heads and its theoretical probability is 11/40.