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AP EAMCET · Maths · Probability

Two persons A and B throw three unbiased dice one after the another. If A gets the sum 13 , then the probability that \(B\) gets higher sum is

  1. A \(\frac{5}{216}\)
  2. B \(\frac{4}{27}\)
  3. C \(\frac{35}{216}\)
  4. D \(\frac{20}{216}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{35}{216}\)

Step-by-step Solution

Detailed explanation

Total possible outcomes when 3 dice are thrown are \(6^3=216\) Outcomes of type \((6,6, \ldots)=3 \times 4=12\) Outcomes of type \((6,5, \ldots)=3+2 \times 3!=15\) Outcomes of type \((6,4, \ldots)=3\) Outcomes of type \((5,5, \ldots)=3+1=4\) and \((6,6,6)\) Probability…