Question

The sum of three different non-zero single digit integers is $11$, what will be the probability for the greatest integer to be $6$?

Answer 1

Given that the sum of $3$ different non-zero single digit integer $=11.$

$\therefore$ Probability of greater integer to be ${}^{\prime }{6}^{\prime }$ among the $3$ numbers $=\frac{1}{3}.$

Hence, the answer is $\frac{1}{3}.$