Multiple choice

Let A and B be any two arbitrary events then which one of the following is true?

  1. P(A + B) = P(A)P(B)

  2. P(AUB) = P(A) + P(B

  3. P(A|B) = P(AΩB)P(B)

  4. P(AΩB) ≤ P(A) + P(B)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The probability of the union of two events is P(A U B) = P(A) + P(B) - P(A intersection B). Therefore, P(A intersection B) <= P(A) + P(B) is a valid property (Boole's inequality/basic probability axioms).

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