A single die is rolled twice. The set of 36 equally likely outcomes is [(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1), ,
(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1) ,
(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)} . Find the probability of getting two numbers
whose sum is greater than 10 .
A) $\frac { 1 } { 12 }$
B) $\frac { 5 } { 18 }$
C) $\frac { 1 } { 18 }$
D) 3

Question

A single die is rolled twice. The set of 36 equally likely outcomes is  [(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1), ,
 (2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1) ,
 (5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)} .  Find the probability of getting two numbers
whose sum is greater than  10 . 
A) $\frac { 1 } { 12 }$
B) $\frac { 5 } { 18 }$
C) $\frac { 1 } { 18 }$
D) 3

Quizplus · Accepted Answer

The outcomes where the sum of the two numbers is greater than 10 are: (5,6), (6,5), (6,6), (4,6), (6,4). There are 5 such outcomes out of 36 possible outcomes, so the probability is $\frac{5}{36}$, which simplifies to $\frac{1}{12}$.

A Single Die Is Rolled Twice 112\frac { 1 } { 12 }121​

A Single Die Is Rolled Twice $\frac { 1 } { 12 }$