Created
July 30, 2021 20:07
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Unfair coin
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''' | |
100 coins / 99 fair + 1 unfair (both heads) | |
pick one | |
flip 10 times = 10 heads | |
what is the probability that this coin is unfair? | |
P(A) * P(B|A) | |
P(A|B) = ---------------- | |
P(B) | |
P(A) = 0.01 - chances of unfair | |
P(B|A) = 1 - probability of success given it unfair | |
P(B) = (0.99 * 0.5^10) + (0.01 * 1^10) - total success outcomes (fair or unfair) | |
P(A|B) = 0.01 / 0.01096 = 0.912 | |
Answer: there is 91% chance that the coin is unfair | |
''' |
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