Let , , , and be mutually exclusive and exhaustive events such that the following relation holds: What is equal to? मान लीजिए A, B, C और D परस्पर अपवर्जी एवं निश्शेष घटनाएं हैं और है। किसके बराबर है ?

Explanation: 1. Understand the Concepts: Since the events and are mutually exclusive and exhaustive , the sum of their probabilities must be equal to . Therefore: 2. Formulate the Equation: Let the ratio be equal to a constant : Expressing each probability in terms of : 3. Solve for : Substitute these values into the sum of probabilities equation: 4. Calculate : Sum the probabilities of and : Substitute the value of : Simplify the fraction: Correct Answer: (a)

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NDA 2026 — Mathematics PYQ

NDA | Mathematics | 2026

Let $A$ , $B$ , $C$ , and $D$ be mutually exclusive and exhaustive events such that the following relation holds: $\frac{P ( A )}{2} = \frac{P ( B )}{3} = \frac{P ( C )}{5} = \frac{P ( D )}{8}$

What is $P (A) + P (B) + P (C)$ equal to?

मान लीजिए A, B, C और D परस्पर अपवर्जी एवं निश्शेष घटनाएं हैं और $\frac{P ( A )}{2} = \frac{P ( B )}{3} = \frac{P ( C )}{5} = \frac{P ( D )}{8}$ है।

$P (A) + P (B) + P (C)$ किसके बराबर है ?

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