1) If A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16 then, I P(not A) = 0.58 II P(not B) = 0.52 III P(A or B) = 0.47 A) Only I and II are correct B) Only II and III are correct C) Only I and III are true. D) All three statements are correct Answer: Option AExplanation:I . P(notA) = 1 - 0.42 = 0.58 II . P(not B) = 1 - P(B) = 1 - 0.48 = 0.52 III . P(A or B) = P(A υ B) = P(A) + P(B) - P(A ∩ B) = 0.42 + 0.48 - 0.16 = 0.74
