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

question 7

Multiple Choice

Find the indicated probability.
-If two balanced die are rolled, the possible outcomes can be represented as follows.
$( 1,1 ) ( 2,1 ) ( 3,1 ) ( 4,1 ) ( 5,1 ) ( 6,1 )$
$( 1,2 ) ( 2,2 ) ( 3,2 ) ( 4,2 ) ( 5,2 ) ( 6,2 )$
$( 1,3 ) ( 2,3 ) ( 3,3 ) ( 4,3 ) ( 5,3 ) ( 6,3 )$
$( 1,4 ) ( 2,4 ) ( 3,4 ) ( 4,4 ) ( 5,4 ) ( 6,4 )$
$( 1,5 ) ( 2,5 ) ( 3,5 ) ( 4,5 ) ( 5,5 ) ( 6,5 )$
$( 1,6 ) ( 2,6 ) ( 3,6 ) ( 4,6 ) ( 5,6 ) ( 6,6 )$
Determine the probability that the sum of the dice is 3 or 9 .

• A)\(\frac { 2 } { 9 }\)
• B) \(\frac { 7 } { 36 }\)
• C) \(\frac { 1 } { 6 }\)
• D) \(\frac { 5 } { 36 }\)

---

Definitions:

Coupling Phase

The stage in connecting two rotating shafts or units where alignment and engagement are optimized for power transmission.

Variable Pitch

Referring to the capability of adjusting the angle or pitch of blades in fans, propellers, or turbines to control performance.