Math & C-S Department
Bagby Hall
Hampden-Sydney College
Hampden-Sydney, VA 23943
(434) 223-6205
Department Chair
Dr. Paul Hemler
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Math & C-S Department
Bagby Hall
Hampden-Sydney College
Hampden-Sydney, VA 23943
(434) 223-6205
Department Chair
Dr. Paul Hemler

There are two coins in a hat. One coin is fair - its probability of heads is 1/2. The other coin is not fair, but you're not sure in which direction: it's either heads with probability 2/3 or tails with probability 2/3. You select a coin at random from the hat and flip it four times. All four flips result in tails. What is the probability that the coin you selected is the fair coin?
