A jar has one 2-headed coin (both sides Head) and 9 fair coins.You pick a coin at random and flip it 10 times, and get all heads.What is the probability that you flipped the 2-headed coin ?Am I doing it right ?where

(10H|BC) = 1P(BC) = 1/10P(10H|fair) = (.5)^10P(fair) = 9/10