document.write( "Question 1171202: A hat has 5 slips of paper numbered 1, 2, 3, 4, 5. A slip of paper is selected at
\n" ); document.write( "random and its number noted and the slip is not replaced. A second slip of paper
\n" ); document.write( "is selected at random.
\n" ); document.write( "What is the probability that the numbers selected sum to 6?\r
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5 ways to choose the first and then 4 ways to choose the second.
\n" ); document.write( "That is 20 total ways
\n" ); document.write( "four of them add to 6: they are 1-5 and 5-1 and 2-4 and 4-2.
\n" ); document.write( "The answer is 20% or 1/5.
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\n" ); document.write( "if 1, (20% probability) then the other choices are 2-3-4-5 with equal probability of 25%.
\n" ); document.write( "So probability is 5% with each pairing and 1-5 sums to 6.
\n" ); document.write( "same for 2 and 2-4 with 5%
\n" ); document.write( "0 probability if first piece is 3.
\n" ); document.write( "the 5% probability with 4 and then 2
\n" ); document.write( "and with 5 and then 1.\r
\n" ); document.write( "\n" ); document.write( "Overall, it is a 20% probability.
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