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MHT CET202411 May 2024Morning ShiftMathematicsProbabilityActual

The probability that a person who undergoes a bypass surgery will recover is 0.6 . the probability that of the six patients who undergo similar operations, half of them will recover is

Options

  1. A0.2762
  2. B0.1852
  3. C0.2074
  4. D0.7235

Correct answer

A. 0.2762

Step-by-step solution

Probability of success, p=0.6, q=0.4, n=6 aligned & Random variable X ~B (6,0.6) & Required probability & = p ( X =3) & = ^6 C ₃ p ^3 q ^3 & = 6 5 4 3! 3! 3! (0.6)^3 (0.4)^3 & =20 0.216 0.064 & 0.2762 aligned

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