Question

Two dice are thrown simultaneously. What is the probability of obtaining sum of the numbers less than 11

• A. $\frac { 17 } { 18 }$
• B. $\frac { 1 } { 12 }$
• C. $\frac { 11 } { 12 }$
• D. None of these

Answer 1

Answer: (C)

$\frac { 11 } { 12 }$

Answer 2

Favourable cases to get the sum not less than 11 are $\{ ( 5,6 ) , ( 6,6 ) , ( 6,5 ) \} = 3$

Hence favourable cases to get the sum less than 11 are $( 36 - 3 ) = 33$. So required probability