Compute and Interpret Probabilities Using the Classical Method
-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

Quizplus · Accepted Answer

The outcomes where the sum of the two rolls is greater than 10 are: (5,6), (6,5), and (6,6). There are 3 favorable outcomes out of 36 possible outcomes, so the probability is $\frac{3}{36} = \frac{1}{12}$.

Compute and Interpret Probabilities Using the Classical Method -A Single {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)\{ ( 1,1 ) , ( 1,2 ) , ( 1,3 ) , ( 1,4 ) , ( 1,5 ) , ( 1,6 ){(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

Compute and Interpret Probabilities Using the Classical Method
-A Single $\{ ( 1,1 ) , ( 1,2 ) , ( 1,3 ) , ( 1,4 ) , ( 1,5 ) , ( 1,6 )$