Q230 / 270 · NDA 2013 (Phase 2) · Mathematics

A die is tossed twice. What is the probability of getting a sum of 10 ?

  • A
    $\frac{1}{18}$
  • B
    $\frac{1}{6}$
  • Correct answer
    C
    $\frac{1}{12}$
  • D
    $\frac{5}{12}$

Solution

Sample event $=(4,6),(5,5),(6,4)$, $n(\mathrm{E})=3$ Sample space $=6 \times 6, n(s)=36$ $p(\mathrm{E})=\frac{n(\mathrm{E})}{n(s)}=\frac{3}{36}=\frac{1}{12} .$

Hence, the correct answer is option: 'C'.

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