The Piggy Banks Problem - 002

Discrete Mathematics Level pending

Two piggy banks contains some coins. The first piggy bank contains 4 fair coins and 2 biased coins in favor of heads. The second piggy bank contains 2 fair coins and 4 biased coins in favor of tails. The biased coins follow the odds 2:1. A piggy bank is selected at random and a coin is obtained from it. The coin is tossed and landed on tails. What is the probability that the coin is from the second piggy bank if each of the piggy banks have equal chances of being chosen?

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