The sample space is S = (0, 1, 2, 3, 4}. Suppose that Pr({0}) = 0.1 Pr({1})

Question:

The sample space is S = (0, 1, 2, 3, 4}. Suppose that
Pr({0}) = 0.1
Pr({1}) = 0.3
Pr({2}) = 0.4
Pr({3}) = 0.1
Pr({4}) = 0.1.
Find Pr(A) and Pr(Ac) if A = {0, 2} and Pr(B) if B = {3, 4}. Is Pr(A ⋃ B) = Pr(A) + Pr(B)? Why or why not?
For the given sets and sample spaces, show that the assignment of probabilities is mathematically consistent and use them to compute the requested probability.