Probability is 0.5 that at least two people out of 25 have same birthday {birthday, probability}.
What is probability that needle falls on parallel lines {Buffon's problem} {Buffon problem}? Probability that needle touches line is 2 * l / (pi * d), where l is needle length and d is distance between lines.
First, contestant chooses one of three outcomes. Then contestant learns that one of other two outcomes is incorrect. Do people switch to another outcome or keep current choice {Monty Hall problem}? Switch, because first guess was only 1/3 correct, but second guess must be 2/3 correct, because contestant now knows that probability of one outcome is zero.
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Date Modified: 2022.0225