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MHT CET20226 Aug 2022Evening ShiftMathematicsProbabilityActual

The incidence of occupational disease in an industry is such that the workmen have a 10 % chance of suffering from it. The probability that out of 5 workmen, 3 or more will contract the disease is

Options

  1. A0.0856
  2. B0.000856
  3. C0.00856
  4. D0.0000856

Correct answer

C. 0.00856

Step-by-step solution

aligned & ^5 C₃ ( 1 10 )^3 ( 9 10 )^2+ ^5 C₄ ( 1 10 )^4 ( 9 10 )^1+ ^5 C₅ ( 1 10 )^5 ( 9 10 )^0 & =10 81 10^5 +5 9 10^5 +1 1 10^5 & = 810+45+1 10^5 = 856 10^5 =0.00856 aligned

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