The sample space for a particular event or number of events is simply anything that illustrates all possible outcomes of those events.
Tables can be used to display the sample space when you have two events happening, in this case, two spinners giving a number.
So, looking at the first white box (top-left corner), the number 1 that is written above it represents getting a number 1 on the spinner numbered 1 to 6 and the number of 1 written to the left of the white box represents getting a number 1 on the spinner numbered 1 to 3.
In the box, you would put 2 plus the extra points since you add the numbers on both spinners, and then add extra points because you got a double.
The numbers in each box, going along the rows (starting from top-left) are:
2 plus extra points;
3;
4;
5;
6;
7;
3;
4 plus extra points;
5;
6;
7;
8;
4;
5;
6 plus extra points;
7;
8;
9.
Notice, all possibilities of what the each of the spinners could land on and in what order are given, this is a sample space.
4*3x=12x
4*2=8
12x+8-2=12x+6
Answer is 12x+6
