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Probability with Biased Coins

HardStatistics & Probability00:00
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Your question is Probability with Biased Coins. Take a moment with it on the right.

Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).

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Problem

Tell me about your approach to computing the probability that a specific coin is the biased one given outcomes from several tosses with a collection of coins that includes a biased coin.

Assume exactly one of 10 coins is biased, its head probability is known, and the remaining coins are fair. Explain how you would calculate the posterior probability for a selected coin after observing its toss outcomes. State the assumptions, show the calculation for the illustrative inputs below, and explain how the method generalizes when multiple coins have observed outcomes.