Allied & ICAR Exam Bank • ALLIED_2510 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

In a single throw of three dice, the probability of obtaining a total score of 16 is $P = m/216$. The value of $m$ is:

Answer Key:

6

Step-by-Step Solution & Explanation

Partitions of 16 into 3 integers in $[1,6]$: $(6,6,4) \implies 3!/2! = 3$; $(6,5,5) \implies 3!/2! = 3$. Total favorable = $3 + 3 = 6$. So $m = 6$.
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