Finite Mathmatics

True or False

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, …, s_n} is a finite sample space with n outcomes. Then 0 < P(s₁) + P(s₂) + … + P(s_n) < 1.
4. True or false. P(E) + P(E^c) = 1.
5. True or false. P(E^c  ∪  F^c) = 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. .