suppose 2 standard 6 sided dice are rolled at the same time. what is the smaple space for the multiplication of the values for the 2 die

Step-by-step explanation:

Following is the sample space for all the possible outcomes when 2 standard 6-sided dice are rolled simultaneously:

123456

1 1,11,21,31,41,51,6

2 2,12,22,32,42,52,6

3 3,13,23,43,43,53,6

4 4,14,24,34,44,54,6

5 5,15,25,35,45,55,6

6 6,16,26,36,46,56,6

Therefore the sample space for the multiplication of the two values in each possible outcome:

elements of the set are:

1*1=1

1*2=2

1*3=3

2*1=2

2*2=4

2*3=6

so on...

Therefore the complete set:

S={ 1, 2, 3, 4, 5, 6, 2, 4, 6, 8, 10, 12, 3, 6, 9, 12, 15, 18, 4, 8, 12, 16, 20, 24, 5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36 }

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )