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The incidence of suffering from a disease among workers in an industry has a chance of 33 1 3 % . What is the probability that exactly 3 out of 6 workers suffer from a disease?

Options

  1. A80 729
  2. B10 81
  3. C10 243
  4. D160 729

Correct answer

D. 160 729

Step-by-step solution

Let P = probability of workers which in suffering from disease. = 1 3 q =1- 1 3 = 2 3 P(x=3)=6_ C₃ ( 1 3 )^3 ( 1 3 )^3= 6.5 .4 3.2 .1 8 3^6 = 160 729

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