Finite Math: What is a fair game? Is the game of roulette as played in American casinos a fair game? Why?
1. True or false. If E and F are mutually exclusive, and E and G are mutually exclusive, then F and G are mutually exclusive.
2. True or false. Suppose it is determined that the probability of obtaining heads in a coin- tossing experiment using a biased coin is 0.51, then the probability of obtaining tails in a toss of the coin is 0.49.
3. True or false. Suppose S = {s1, s2, …, sn} is a finite sample space with n outcomes. Then 0 < P(s1) + P(s2) + … + P(sn) < 1.
4. True or false. P(E) + P(Ec) = 1.
5. True or false. P(Ec ? Fc) = 1 - P(E ? F)
6. True or false. If A and B are events in an experiment and P(B) ? 0, then .
7. True or false. .