Mathematics · Probability
If A is any event associated with a sample space, and E1, E2, E3 are mutually exclusive and exhaustive events, then which of the following statements are true? (A) P(A) = P(E1)P(E1 | A) + P(E2)P(E2 | A) + P(E3)P(E3 | A) (B) P(A) = P(A | E1)P(E1) + P(A | E2)P(E2) + P(A | E3)P(E3) (C) P(Ei | A) = P(A | Ei)P(Ei)∑i=13 P(A | Ei)P(Ei), i = 1, 2, 3 (D) P(A | Ei) = P(Ei | A)P(Ei)∑i=13 P(Ei | A)P(Ei), i = 1, 2, 3 Choose the correct answer from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(B) and (C) only✓
- 2(B) and (D) only
- 3(A) and (D) only
- 4(A) and (C) only
Correct answer
(B) and (C) only
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