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Conditional Probabilityhard
0:00.0

Two urns, U1U_1U1​ and U2U_2U2​, contain colored tokens. U1U_1U1​ has 3 red and 7 blue tokens. U2U_2U2​ has 8 red and 2 blue tokens. A fair coin is tossed; if heads, U1U_1U1​ is chosen; otherwise U2U_2U2​. You draw one token and it is red. What is the probability that the next token drawn from the same urn (without replacement) is also red?