document.write( "Question 1068630: When two dice are rolled, the sample space consists of how many events? \n" ); document.write( "
Algebra.Com's Answer #683890 by Theo(13342)\"\" \"About 
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the sample space consists of all possible outcomes of the experiment.\r
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\n" ); document.write( "\n" ); document.write( "i believe there will be 6 * 6 = 36 possible outcomes.\r
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\n" ); document.write( "\n" ); document.write( "that's because, for every number from 1 to 6 on the first die, there are 6 possible numbers on the second die.\r
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\n" ); document.write( "\n" ); document.write( "6 * 6 = 36 possibilities.\r
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\n" ); document.write( "\n" ); document.write( "they are:\r
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\n" ); document.write( "\n" ); document.write( "first die is 1, second die is 1 to 6.
\n" ); document.write( "first die is 2, second die is 1 to 6.
\n" ); document.write( "etc.\r
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\n" ); document.write( "\n" ); document.write( "the possible numbers are 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.\r
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\n" ); document.write( "\n" ); document.write( "the probabilities of getting each are different.\r
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\n" ); document.write( "\n" ); document.write( "that's because each number is a combination of several outcomes of the roll.\r
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\n" ); document.write( "\n" ); document.write( "probability of getting a 2 is 1 our of 36 because:
\n" ); document.write( "1 + 1 = 2
\n" ); document.write( "probability of getting a 3 is 2 out of 36 because:
\n" ); document.write( "1 + 2 = 3
\n" ); document.write( "2 + 1 = 3
\n" ); document.write( "probability of getting a 4 is 3 out of 36 because:
\n" ); document.write( "1 + 3 = 4
\n" ); document.write( "3 + 1 = 4
\n" ); document.write( "2 + 2 = 4
\n" ); document.write( "probability of getting a 5 is 4 out of 36 because:
\n" ); document.write( "1 + 4 = 5
\n" ); document.write( "4 + 1 = 5
\n" ); document.write( "2 + 3 = 5
\n" ); document.write( "3 + 2 = 5
\n" ); document.write( "probability of getting a 6 is 5 out of 36 because:
\n" ); document.write( "1 + 5 = 6
\n" ); document.write( "5 + 1 = 6
\n" ); document.write( "2 + 4 = 6
\n" ); document.write( "4 + 2 = 6
\n" ); document.write( "3 + 3 = 6
\n" ); document.write( "probability of getting a 7 is 6 out of 36 because:
\n" ); document.write( "1 + 6 = 7
\n" ); document.write( "6 + 1 = 7
\n" ); document.write( "2 + 5 = 7
\n" ); document.write( "5 + 2 = 7
\n" ); document.write( "3 + 4 = 7
\n" ); document.write( "4 + 3 = 7
\n" ); document.write( "probability of getting an 8 is 5 out of 36 because:
\n" ); document.write( "2 + 6 = 8
\n" ); document.write( "6 + 2 = 8
\n" ); document.write( "3 + 5 = 8
\n" ); document.write( "5 + 3 = 8
\n" ); document.write( "4 + 4 = 8
\n" ); document.write( "probability of getting a 9 is 4 out of 36 because:
\n" ); document.write( "3 + 6 = 9
\n" ); document.write( "6 + 3 = 9
\n" ); document.write( "4 + 5 = 9
\n" ); document.write( "5 + 4 = 9
\n" ); document.write( "probability of getting a 10 is 3 out of 36 because:
\n" ); document.write( "4 + 6 = 10
\n" ); document.write( "6 + 4 = 10
\n" ); document.write( "5 + 5 = 10
\n" ); document.write( "probability of getting an 11 is 2 out of 36 because:
\n" ); document.write( "5 + 6 = 11
\n" ); document.write( "6 + 5 = 11
\n" ); document.write( "probability of getting a 12 is 1 out of 36 because:
\n" ); document.write( "6 + 6 = 12\r
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\n" ); document.write( "\n" ); document.write( "that's the total number of possibilities.\r
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\n" ); document.write( "\n" ); document.write( "add up all the probabilities and you get 36/36 = 1, as you should.\r
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