document.write( "Question 1174545: Can you explain this problem to me?\r
\n" ); document.write( "\n" ); document.write( "EXAMPLE 4: Suppose a pair of dice are rolled. What is the expected value of the random variable which assigns to each element in the sample space the sum of the dice?
\n" ); document.write( "I understand the range of (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
\n" ); document.write( "I don't understand how they got the following:
\n" ); document.write( "Px(2)= P (x=2) = 1/36
\n" ); document.write( "Px(3)= P (x=3) = 2/36
\n" ); document.write( "Px(8)= P (x=8) = 5/36
\n" ); document.write( "Px(9)= P (x=9) = 4/36 \n" ); document.write( "
Algebra.Com's Answer #799960 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi\r\n" );
document.write( "One can 'count' the expected value from the Chart below, \r\n" );
document.write( "which details the '36' ways of rolling a pair of dice.\r\n" );
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document.write( "Px(2)= P (x=2) = 1/36\r\n" );
document.write( "Px(3)= P (x=3) = 2/36\r\n" );
document.write( "Px(8)= P (x=8) = 5/36\r\n" );
document.write( "Px(9)= P (x=9) = 4/36\r\n" );
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document.write( "___1__2__3__4__5__6\r\n" );
document.write( "1|_2__3__4__5__6__7\r\n" );
document.write( "2|_3__4__5__6__7__8\r\n" );
document.write( "3|_4__5__6__7__8__9\r\n" );
document.write( "4|_5__6__7__8__9__10\r\n" );
document.write( "5|_6__7__8__9__10_11\r\n" );
document.write( "6|_7__8__9_10__11_12 \r\n" );
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document.write( "(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" );
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document.write( "(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) \r\n" );
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document.write( "(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) etc...\r\n" );
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document.write( "Wish You the Best in your Studies.\r\n" );
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