Question

Three dice are thrown simultaneously. What is the probability of obtaining a total of 17 or 18

• A. $\frac { 1 } { 9 }$
• B. $\frac { 1 } { 72 }$
• C. $\frac { 1 } { 54 }$
• D. None of these

Answer 1

Answer: (C)

$\frac { 1 } { 54 }$

Answer 2

Three dice can be thrown in $6 \times 6 \times 6 = 216$ ways. total 17 can be obtained as $( 5,6,6 )$,$( 6,5,6 )$ $( 6,6,5 )$. total 18 can be obtained as $( 6,6,6 )$.

Hence the required probability