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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 no one out of 6 workers suffers from a disease?

Options

  1. A665 729
  2. B64 729
  3. C4 243
  4. D1 729

Correct answer

B. 64 729

Step-by-step solution

Let P = probability of workers which in suffering from disease. = 1 3 q =1- 1 3 = 2 3 P(X=0)=6_ C₀ ( 1 3 )^0 ( 2 3 )^6= 2^6 3^6 = 64 729

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