Q. Probability of throwing 16 in one throw with three dice is

A) $\frac{1}{36}$
B) $\frac{1}{18}$
C) $\frac{1}{72}$
D) $\frac{1}{9}$
Explanation

(a)
The total number of possible ways
$n(S) = 6 \times 6 \times 6 = 216$
Now, we find out how many ways are favourable to the total of 16 points in one throw. Let $A,\ B,\ C$ be three dice, then favourable ways happen only as follows (6,6,4),(6,4,6),(6,5,5),(5,5,6),(5,6,5),(4,6,6).
Hence, the total number of favourable ways
$n(A) = 6$
$\therefore$ Required probability$= \frac{n(A)}{n(S)} = \frac{6}{216} = \frac{1}{36}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.