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If a fair die is rolled 4 times, then what is the probability that there are exactly 2 sixes?

Options

  1. A5 216
  2. B25 216
  3. C125 216
  4. D175 216

Correct answer

B. 25 216

Step-by-step solution

Given, aligned & n=4, p= 1 6 , q= 5 6 & P(x=2)= ^4 C₂ p^2 q^2 & =6 ( 1 6 )^2 ( 5 6 )^2 & = 25 216 aligned

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