Question 1155820
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Outcomes of the die roll = {1,2,3,4,5,6}
Colors on the spinner = {R, B, Y} (for red, blue, yellow)


There are 6 items in the first set, and 3 items in the second, so 6*3 = 18 items total in the sample space.


Imagine we had a 6 by 3 table. 
6 rows and 3 columns
The 6 rows is from the 6 values in {1,2,3,4,5,6}
The 3 columns is from the 3 values in {R, B, Y}
Along the top and left side, list the values mentioned to get this table so far
<table border = "1" cellpadding = "5">
<tr><td></td><td>R</td><td>B</td><td>Y</td></tr>
<tr><td>1</td><td></td><td></td><td></td></tr>
<tr><td>2</td><td></td><td></td><td></td></tr>
<tr><td>3</td><td></td><td></td><td></td></tr>
<tr><td>4</td><td></td><td></td><td></td></tr>
<tr><td>5</td><td></td><td></td><td></td></tr>
<tr><td>6</td><td></td><td></td><td></td></tr>
</table>


Now fill in the table by writing the proper letter and number combination. For instance, in row 3, column 2, we will have B3 since "B" is in column 2 and "3" is in row 3. Getting the outcome B3 tells the reader the spinner landed on blue while the die landed on 3. Fill the other 17 cells in a similar fashion and you'll end up with this:
<table border = "1" cellpadding = "5">
<tr><td></td><td>R</td><td>B</td><td>Y</td></tr>
<tr><td>1</td><td>R1</td><td>B1</td><td>Y1</td></tr>
<tr><td>2</td><td>R2</td><td>B2</td><td>Y2</td></tr>
<tr><td>3</td><td>R3</td><td>B3</td><td>Y3</td></tr>
<tr><td>4</td><td>R4</td><td>B4</td><td>Y4</td></tr>
<tr><td>5</td><td>R5</td><td>B5</td><td>Y5</td></tr>
<tr><td>6</td><td>R6</td><td>B6</td><td>Y6</td></tr>
</table>
Each of the 18 items inside the table refer to an outcome in the sample space. For instance R2 means the spinner landed on red and the die rolled to a "2". 


If you were to erase the table lines and the outer headers, adding in curly braces around the entire thing, then you'd end up with this final sample space

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<pre>
{
   R1, B1, Y1,
   R2, B2, Y2,
   R3, B3, Y3,
   R4, B4, Y4,
   R5, B5, Y5,
   R6, B6, Y6
}
</pre>
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Normally when writing out a set, you write it all as one single line; however, I broke up the set into 6 lines just like how the table is laid out. 
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