Mathematics, 05.05.2020 14:55, 201010399

Events A and B have probabilities such that P(A) = 0.3, P(B) = 0.25, P(M ∪ N) = 0.425, and P(M ∩ N) = 0.075. Are events A and event B independent? (I think is the middle one)

Question options:

Yes, because P(M) - P(N) = P(M ∩ N)
Yes, because P(M) ∙ P(N) ≠ P(M ∩ N)
Yes, because P(M) ∙ P(N) = P(M ∩ N)
No, because P(M) + P(N) = P(M ∪ N)
No, because P(M) ∙ P(N) ≠ P(M ∪ N)

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Events A and B have probabilities such that P(A) = 0.3, P(B) = 0.25, P(M ∪ N) = 0.425, and P(M ∩ N)...