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

question 48

Multiple Choice

Find the indicated probability.
-If two balanced dice are rolled, the possible outcomes can be represented as follows. $( 1,1 ) ( 2,1 ) ( 3,1 ) ( 4,1 ) ( 5,1 ) ( 6,1 )$
$( 1,2 ) ( 2,2 ) ( 3,2 ) ( 4,2 ) ( 5,2 ) ( 6,2 )$
$( 1,3 ) ( 2,3 ) ( 3,3 ) ( 4,3 ) ( 5,3 ) ( 6,3 )$
$( 1,4 ) ( 2,4 ) ( 3,4 ) ( 4,4 ) ( 5,4 ) ( 6,4 )$
$( 1,5 ) ( 2,5 ) ( 3,5 ) ( 4,5 ) ( 5,5 ) ( 6,5 )$
$( 1,6 ) ( 2,6 ) ( 3,6 ) ( 4,6 ) ( 5,6 ) ( 6,6 )$
Determine the probability that the sum of the dice is 4 or 10 .

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

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Definitions:

Simplification

The process of reducing expressions into their simplest form by performing operations and combining like terms.

Simplification

The process of altering a mathematical expression to make it easier to understand or work with, often by combining like terms or applying mathematical laws.

Mathematical Expression

An arrangement of numbers, symbols, and operators designed to represent a value or concept in mathematics.

Exponentiation

A mathematical operation involving two numbers, the base and the exponent, where the base is multiplied by itself the exponent number of times.