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Mathematics

25 December, 12:37

Shawn is conducting an experiment where he is flipping a fair coin (where the probability of the coin landing heads up is 50%). After performing the experiment 100 times, the coin fell heads up 78 times. Shawn then decided to perform the experiment 15 more times, during which the coin fell heads up only 3 times. According to this experience, should Shawn question whether or not the coin is a fair coin?

A. No, Shawn understands that as the experiment goes through more trials the experimental probability will approach the theoretical probability.

B. Yes, even with the additional 15 trials of the experiment the coin lands on heads 70.4% of the time.

C. No, the first 100 trials shows heads 78% of the time and the next 15 trials shows tails 80% of the time which proves the coin is fair.

D. Yes, since the coin did not land on heads 50% of the time it cannot be a fair coin.