1. A coin is rigged so that when it is flipped, the probability of a head is .7. If the coin is flipped three times, which is the more likely outcome, exactly three heads, or two heads and a tail?
2. Imagine that the probability of head when flipping a coin is given by the binomial probability function with p = .5. (So the outcomes are independent.) If you flip the coin nine times and get nine heads, what is the probability of head on the tenth flip?