document.write( "Question 330445: Two dice, one marked with 1,1,2,3,4,5 and one marked with 2,3,4,5,6,6 are rolled\r
\n" ); document.write( "\n" ); document.write( "A) What are the possible sums and corresponding probabilities (relative frequencies)\r
\n" ); document.write( "\n" ); document.write( "Prossible sums? Probabilities?\r
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\n" ); document.write( "\n" ); document.write( "B) What is the expected sum (the weighted average of all possible sums). \n" ); document.write( "
Algebra.Com's Answer #237035 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
a) Look at all of the possible rolls and their sum.
\n" ); document.write( "1 2 3
\n" ); document.write( "1 3 4
\n" ); document.write( "1 4 5
\n" ); document.write( "1 5 6
\n" ); document.write( "1 6 7
\n" ); document.write( "1 6 7
\n" ); document.write( "1 2 3
\n" ); document.write( "1 3 4
\n" ); document.write( "1 4 5
\n" ); document.write( "1 5 6
\n" ); document.write( "1 6 7
\n" ); document.write( "1 6 7
\n" ); document.write( "2 2 4
\n" ); document.write( "2 3 5
\n" ); document.write( "2 4 6
\n" ); document.write( "2 5 7
\n" ); document.write( "2 6 8
\n" ); document.write( "2 6 8
\n" ); document.write( "3 2 5
\n" ); document.write( "3 3 6
\n" ); document.write( "3 4 7
\n" ); document.write( "3 5 8
\n" ); document.write( "3 6 9
\n" ); document.write( "3 6 9
\n" ); document.write( "4 2 6
\n" ); document.write( "4 3 7
\n" ); document.write( "4 4 8
\n" ); document.write( "4 5 9
\n" ); document.write( "4 6 10
\n" ); document.write( "4 6 10
\n" ); document.write( "5 2 7
\n" ); document.write( "5 3 8
\n" ); document.write( "5 4 9
\n" ); document.write( "5 5 10
\n" ); document.write( "5 6 11
\n" ); document.write( "5 6 11
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\n" ); document.write( "There are 36 possible outcomes,
\n" ); document.write( "Sum of 3:2, \"P%283%29=2%2F36=1%2F18\"
\n" ); document.write( "Sum of 4:3, \"P%284%29=3%2F36=1%2F12\"
\n" ); document.write( "Sum of 5:4, \"P%285%29=4%2F36=1%2F9\"
\n" ); document.write( "Sum of 6:5, \"P%286%29=5%2F36\"
\n" ); document.write( "Sum of 7:8, \"P%287%29=8%2F36=2%2F9\"
\n" ); document.write( "Sum of 8:5, \"P%288%29=5%2F36\"
\n" ); document.write( "Sum of 9:4, \"P%289%29=4%2F36=1%2F9\"
\n" ); document.write( "Sum of 10:3, \"P%2810%29=3%2F36=1%2F12\"
\n" ); document.write( "Sum of 11:2, \"P%2811%29=2%2F36=1%2F18\"
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\n" ); document.write( "Sum the product of the sum and the probability,
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\n" ); document.write( "\"A=7\"
\n" ); document.write( "As expected since the probabilities are symmetric about \"7\". \r
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