Suppose that n people are dealt a red or black card, each independently with probability \frac{1}{2}. Each person holds up their card so that everyone can see it but themselves. Each person is given a chance to guess their own card, or to pass. The group wins as long as someone can guess which color card they have, and no one guesses wrong. Otherwise, they lose.
(i) (1 point) Give a strategy where the group wins with probability \frac{1}{2}.
(ii) (7 points) Suppose n=7. Give a strategy where the group wins with probability \frac{7}{8}.