Find the Indicated Probability $( 1,1 ) ( 2,1 ) ( 3,1 ) ( 4,1 ) ( 5,1 ) ( 6,1 )$

question 23

Multiple Choice

Find the indicated probability.
-If two balanced dice are rolled, the possible outcomes can be represented as follows. $( 1,1 ) ( 2,1 ) ( 3,1 ) ( 4,1 ) ( 5,1 ) ( 6,1 )$
$( 1,2 ) ( 2,2 ) ( 3,2 ) ( 4,2 ) ( 5,2 ) ( 6,2 )$
$( 1,3 ) ( 2,3 ) ( 3,3 ) ( 4,3 ) ( 5,3 ) ( 6,3 )$
$( 1,4 ) ( 2,4 ) ( 3,4 ) ( 4,4 ) ( 5,4 ) ( 6,4 )$
$( 1,5 ) ( 2,5 ) ( 3,5 ) ( 4,5 ) ( 5,5 ) ( 6,5 )$
$( 1,1 ) ( 2,1 ) ( 3,1 ) ( 4,1 ) ( 5,1 ) ( 6,1 )$
$( 1,2 ) ( 2,2 ) ( 3,2 ) ( 4,2 ) ( 5,2 ) ( 6,2 )$
$( 1,3 ) ( 2,3 ) ( 3,3 ) ( 4,3 ) ( 5,3 ) ( 6,3 )$
$( 1,4 ) ( 2,4 ) ( 3,4 ) ( 4,4 ) ( 5,4 ) ( 6,4 )$
$( 1,5 ) ( 2,5 ) ( 3,5 ) ( 4,5 ) ( 5,5 ) ( 6,5 )$
$( 1,6 ) ( 2,6 ) ( 3,6 ) ( 4,6 ) ( 5,6 ) ( 6,6 )$

Determine the probability that the sum of the dice is $9 .$

• A) \(\frac { 5 } { 36 }\)
• B) \(\frac { 1 } { 9 }\)
• C) \(\frac { 1 } { 6 }\)
• D) \(\frac { 1 } { 12 }\)

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