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During war one ship out of 5 was sunk on an average in making a certain voyage. What is the probability that exactly 3 out of 5 ships would arrive safely?

Options

  1. A16 625
  2. B32 625
  3. C64 625
  4. D128 625

Correct answer

D. 128 625

Step-by-step solution

aligned & n=5, q=P( sunk )= 1 5 , P=1- 1 5 = 4 5 & P(x=3)= ^5 C₃ ( 4 5 )^3 ( 1 5 )^2= 128 625 aligned

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