If A is any event associated with sample space and If E_1, E_2, E_3 are mutually exclusive and exhaustive events. Then which of the following are…
CUET UG 2025 — Mathematics Algebra
If A is any event associated with sample space and If E1,E2,E3 are mutually exclusive and exhaustive events. Then which of the following are true?
(A) P(A)=P(E1)P(E2∣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)=∑i=13P(A∣Ei)P(Ei)P(A∣Ei)P(Ei), i=1,2,3
(D) P(A∣Ei)=∑i=13P(Ei∣A)P(Ei)P(Ei∣A)P(Ei), i=1,2,3
Choose the correct answer from the options given below:
Held on 14 May 2025 · Verified 13 Jul 2026.
Options
- A
(A) and (C) only
- B
(A) and (D) only
- C
(B) and (D) only
- D
(B) and (C) only
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