Let 0 = {1,2, 3, 4, 5} be the sample space of a random experiment. Let also the events A = {1, 2} and B= {2,3, 4} be such that P(An B) = 0.2, P(A) = 0.3 and P(B) = 0.4. Find the probabilities. (a)...

Let Ω={1,2,3,4,5} be the sample space of a random experiment. Let also the events A={1,2} and B={2,3,4} be such that P(A∩B)=0.2, P(A)=0.3P(A)=0.3 and P(B)=0.4

(a) P({2})

(b) P({1}).

(c) P(Ac|B), (where Ac is the complement of A).

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Extracted text: Let 0 = {1,2, 3, 4, 5} be the sample space of a random experiment. Let also the events A = {1, 2} and B= {2,3, 4} be such that P(An B) = 0.2, P(A) = 0.3 and P(B) = 0.4. Find the probabilities. (a) P({2}). (b) P({1}). () P(A^|B), (where A° is the complement of A).