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CUET · MATHS · PYQ PAPER 2023

Let \(x\) denote the number of heads in a simultaneous toss of three coins, then \(P(0 < x \leq 3)\)

  1. A \(\frac{1}{2}\)
  2. B \(\frac{3}{4}\)
  3. C \(\frac{7}{8}\)
  4. D 1
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{7}{8}\)

Step-by-step Solution

Detailed explanation

\(\text{Total outcomes} = 2^3 = 8\) \(\text{Outcomes for } x=0 \text{ (TTT)} = 1\) \(P(x=0) = \frac{1}{8}\) \(P(0 < x \leq 3) = 1 - P(x=0) = 1 - \frac{1}{8} = \frac{7}{8}\)