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Q.
The probability of getting the sum more than $7$ when a pair of dice is tossed is
NTA AbhyasNTA Abhyas 2022
Solution:
Sum of 7 can be obtained when $\left(\right.2,6\left.\right),\left(\right.3,5\left.\right),\left(\right.3,6\left.\right),\left(\right.4,4\left.\right),\left(\right.4,5\left.\right),\left(\right.4,6\left.\right)\left(\right.5,3\left.\right),\left(\right.5,4\left.\right)\left(\right.5,5\left.\right)\left(\right.5,6\left.\right)\left(\right.6,2\left.\right)\left(\right.6,3\left.\right)\left(\right.6,4\left.\right)\left(\right.6,5\left.\right)\left(\right.6,6\left.\right)$
$\therefore $ Probability of $sum>7=\frac{15}{36}=\frac{5}{12}$