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MHT CET202523 Apr 2025Evening ShiftMathematicsProbabilityActual

If x B (6, 1 2 ) , then p(|x-2| 1)=

Options

  1. A31 32
  2. B41 64
  3. C51 64
  4. D63 64

Correct answer

B. 41 64

Step-by-step solution

Given x B (6, 1 2 ) , the probability mass function simplifies to P(x = k) = 6 k 64 . We seek P(|x - 2| 1) , which resolves to P(1 x 3) . The binomial coefficients yield: 6 1 = 6 , 6 2 = 15 , 6 3 = 20 . Summing the probabilities: 6 64 + 15 64 + 20 64 = 41 64 . This corresponds to option B .

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