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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Probability

NDA 2019 · Mathematics · Probability

If two fair dice are rolled then what is the conditional...

If two fair dice are rolled then what is the conditional probability that the first dice lands on 6 given that the sum of numbers on the dice is 8 ?

Options

  1. A13\frac{1}{3}
  2. B14\frac{1}{4}
  3. C15\frac{1}{5}
  4. D16\frac{1}{6}

Correct answer

C. 15\frac{1}{5}

Step-by-step solution

Total number of cases that sum is 8 are (2,6),(3,5),(4,4),(5,3),(6,2)(2,6),(3,5),(4,4),(5,3),(6,2) favourable case =(6,2)∴ Probability =15\begin{aligned} & \text{ favourable case }=(6,2) \\ & \therefore \text{ Probability }=\frac{1}{5}\end{aligned}$$
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