Finite Math

1. True or false. A set is any collection of objects.
2. True or false. A proper subset of a set is itself a subset of the set, but not vice versa.
3. True or false. The empty set is a subset of every set.
4. True or false. If A B = , then A = and B = .
5. True or false. If A B = , then A = or B = or both A and B are empty sets.
6. True or false. (A Ac)c = .
7. True or false. [A (B C)]c = (A B)c (A C)c
8. True or false. n(A) + n(B) = n(A B) + n(A B)
9. True or false. If A B, then n(B) = n(A) + n(Ac B).
10. True or false. The number of permutations of n distinct objects taken all together is n!
11. True or false. P(n, r) = r! C(n, r).
12. True or false. If E and F are mutually exclusive, and E and G are mutually exclusive, then F and G are mutually exclusive.
13. 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.
14. 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. 15. True or false. P(E) + P(Ec) = 1. 16. True or false. P(Ec Fc) = 1 - P(E F)

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