Conditional Probabilityhard
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Two urns, U1U_1 and U2U_2, contain colored tokens. U1U_1 has 3 red and 7 blue tokens. U2U_2 has 8 red and 2 blue tokens. A fair coin is tossed; if heads, U1U_1 is chosen; otherwise U2U_2. 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?