Two dice are thrown simultaneously. The probability of getting th… - Vidyadip

MCQ

Two dice are thrown simultaneously. The probability of getting the sum $2$ or $8$ or $12$ is

A
$\frac{5}{{18}}$
✓
$\frac{7}{{36}}$
C
$\frac{7}{{18}}$
D
$\frac{5}{{36}}$

✓

Answer

Correct option: B.

$\frac{7}{{36}}$

b
(b) The sum $2$ can be found in one way $i.e.$ $(1,\,\,1)$

The sum $8$ can be found in five ways

$i.e.$ $(6,\,\,2),$ $(6,\,\,2),\,(5,\,\,3),$ $\,(4,\,\,4),\,(3,\,\,5),\,(2,\,\,6)$.

Similarly the sum twelve can be found in one way $i.e.,$ $(6,\,\,6).$

Hence required probability $ = \frac{7}{{36}}.$

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