Question: A box contains three red and two blue flies. Two flies are removed with replacement. Let A be the event that both the flies are

A box contains three red and two blue flies. Two flies are removed with replacement. Let A be the event that both the flies are of the same color and B be the event that at least one of the flies is red. Find
(i) P (A),
(ii) P (B),
(iii) P (A ∪ B), and
(iv) P (A ∩ B).

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