Multiple choice

A die is thrown 4 times. The probability of getting atmost two 6 is

  1. $0.984$
  2. $0.802$
  3. $0.621$
  4. $0.721$
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A Correct answer
AI explanation

Using the binomial distribution formula, the probability of getting a six is one sixth and the probability of not getting a six is five sixths. The probability of getting at most two sixes is the sum of the probabilities of getting zero, one, or two sixes. This is calculated as 5/6 raised to the power of 4 plus 4 times 1/6 times 5/6 cubed plus 6 times 1/36 times 5/6 squared. Evaluating 625/1296 plus 500/1296 plus 150/1296 gives 1275/1296, which equals approximately 0.984.

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