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14.Probability
easy
In a single throw of two dice, the probability of obtaining a total of $7$ or $9$, is
A
$\frac{5}{{18}}$
B
$\frac{1}{6}$
C
$\frac{1}{9}$
D
None of these
Solution
(a) $7 \to \left\{ {(6,\,\,1),\,(5,\,\,2),\,(4,\,\,3),\,(3,\,\,4),\,(2,\,\,5),\,(1,\,\,6)} \right\}$
$9 \to \left\{ {(6,\,\,3),\,(5,\,\,4),\,(4,\,\,5),\,(3,\,\,6)} \right\}$
Required probability $ = \frac{{6 + 4}}{{36}} = \frac{5}{{18}}.$
Standard 11
Mathematics