document.write( "Question 1155820: an experiment is performed where a 6-sided die is rolled and then a 3-color spinner is spun. the possible outcomes for each event are 1,2,3,4,5 and 6 for the 6-sided die and red (r), blue (b), and yellow (y) for the 3-color spinner. identify the sample space for this experiment \n" ); document.write( "

Algebra.Com's Answer #778512 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "Outcomes of the die roll = {1,2,3,4,5,6}
\n" ); document.write( "Colors on the spinner = {R, B, Y} (for red, blue, yellow)\r
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\n" ); document.write( "\n" ); document.write( "There are 6 items in the first set, and 3 items in the second, so 6*3 = 18 items total in the sample space.\r
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\n" ); document.write( "\n" ); document.write( "Imagine we had a 6 by 3 table.
\n" ); document.write( "6 rows and 3 columns
\n" ); document.write( "The 6 rows is from the 6 values in {1,2,3,4,5,6}
\n" ); document.write( "The 3 columns is from the 3 values in {R, B, Y}
\n" ); document.write( "Along the top and left side, list the values mentioned to get this table so far
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	R	B	Y
1
2
3
4
5
6

\r
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\n" ); document.write( "\n" ); document.write( "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:
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	R	B	Y
1	R1	B1	Y1
2	R2	B2	Y2
3	R3	B3	Y3
4	R4	B4	Y4
5	R5	B5	Y5
6	R6	B6	Y6

\n" ); document.write( "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\". \r
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\n" ); document.write( "\n" ); document.write( "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\r
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\r\n" );
document.write( "{\r\n" );
document.write( "   R1, B1, Y1,\r\n" );
document.write( "   R2, B2, Y2,\r\n" );
document.write( "   R3, B3, Y3,\r\n" );
document.write( "   R4, B4, Y4,\r\n" );
document.write( "   R5, B5, Y5,\r\n" );
document.write( "   R6, B6, Y6\r\n" );
document.write( "}\r\n" );
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\n" ); document.write( "\n" ); document.write( "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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