Three are three coins in a bag. Coin 1 (call it C1) is a fair coin, coin 2 (call it C2) and coin 3 (call it C3) are both biased with coin 2 having heads on both sides and coin 3 having tails on both sides. You randomly chose one and tossed it twice. (a) Find the probability of obtaining two heads from C1, i.e., the fair coin. (b) Find the probability of obtaining two heads from C2. (c) Find the probability of obtaining two heads.

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05-11-2021
Mathematics

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Three are three coins in a bag. Coin 1 (call it C1) is a fair coin, coin 2 (call it C2) and coin 3 (call it C3) are both biased with coin 2 having heads on both sides and coin 3 having tails on both sides. You randomly chose one and tossed it twice. (a) Find the probability of obtaining two heads from C1, i.e., the fair coin. (b) Find the probability of obtaining two heads from C2. (c) Find the probability of obtaining two heads.

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