Question

Question 1 [20 points] We are given three coins: one has heads in both faces, the second has tails in both faces, and the third has a head in one face and a tail in the other. We choose a coin at random, toss it, and the result is heads. What is the probability that the opposite face is tails?

Answer 1

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Here given no Soin - According to the given dater, we have the following of Coins 3 Com 7 two sides tails Coin 27 two sider heads 3 One side tails & and side heads Here let x is the probability of head from the tow of 3 given coins & y is the other side of relevant com ton being tails Plany Ply) on first Now P(rely) where Plany) $ Hore we have Only one coin & tails on Opposite that give heads py) two coins that show remaining coles tails on Opposite sides PCaly) Plany Ply)

plaly) wles 1 est = 0-5 Therefore, the probability of opposite face tails is 12 CoDT0.5