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A fair coin is flipped 10 times and lands on heads 8 times. Provide a reason to justify the difference between the experimental and theoretical probabilities. Use the drop-down menus to

explain your answer.
There should be a greater
With more
number of trials.
tips of the coin, the experimental probability will likely approach the theoretical probability of 75%

A fair coin is flipped 10 times and lands on heads 8 times. Provide a reason to justify-example-1
User AdrianTNT
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The difference between the experimental and theoretical probabilities can be attributed to random variation. While the theoretical probability of getting heads on any given coin flip is 50%, the actual outcomes of a finite number of coin flips can deviate from this expected value due to chance.

As the number of trials increases, the experimental probability is likely to converge towards the theoretical probability. This is because the law of large numbers suggests that as the sample size increases, the sample mean (in this case, the experimental probability) approaches the true population mean (in this case, the theoretical probability).

Therefore, there should be a greater number of trials to reduce the impact of random variation on the experimental probability and to approach the theoretical probability.
User Harshul Pandav
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