Question: A student is chosen at random. Let A, B, C be the events that the student is an Aeronautics major, a Basketball player, or a

A student is chosen at random. Let A, B, C be the events that the student is an Aeronautics major, a Basketball player, or a Co-op student. The events are not disjoint; we are told

P(A) = P{B) = P{C) = 0.38,

And

P(A ∩ B) = p(A ∩ C) = P(B ∩ C) = 0.12,

And

P(A ∩ B ∩ C) = 0.05.

Find the probability that the student participates in at least one of these three programs, i.e., find P(A ∪ B ∪ C).

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