Gloria has two standard number cubes (dice) with faces labeled 1 to 6. What is the organized list for the sample space for rolling each of the two number cubes once? *

(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)|(6,5)|(6,5)|(6,6)

Step-by-step explanation:

-Each cube has a sample space of 6 as below:

1st Cube: (1,2,3,4,5,6)

2nd Cube:(1,2,3,4,5,6)

-The sample space if both a rolled at once is equal to the product of their individual sample spaces:

Sample space =6*6=36

#Rolling the cubes all at once will give as the following sample space:

(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)|(6,5)|(6,5)|(6,6)

it is contrapositive

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