1. A bag contains a thousand coins, one of which has heads on both sides. A coin is drawn at random. What is the probability that it is the loaded coin, if it is flipped and turns up heads without fail
(a) 3 times in a row
(b) 10 times in a row
(c) 20 times in a row.
2. Repeat Problem 3-33 when the loaded coin in the bag has both H and T faces, big is biased so that the probability of H is 3/4.