An arcade booth at a county fair has a person pick a coin from two possible coins available and then toss it.  If the coin chosen lands on heads, the person gets a prize.  One coin is a fair coin and one coin is a biased coin (unfair) with only a 28% chance of getting a head.  Assuming equally likely probability of picking either coin, what is the probability that the fair coin is the one chosen, given that the chosen coin lands on heads?

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