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posted by  ali24 on 7/24/2008 9:14:59 AM  |  status: Live  

Discreat math

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Discrete Math N/A N/A N/A
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A pair of fair dice is thrown twice. What is the probability of getting totals of 5 and 11?

             

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posted by James(SME-Math) on 7/25/2008 2:17:52 AM  |  status: Live
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A pair of fair dice is thrown twice.
 
So there is 36 * 36 = 1296 combinations.
 
The probability of getting 5, P(5) = { [(1,1), (1, 2)], [(1, 1), (2, 1)], [(1, 2), (2, 1)], [(2, 1), (1, 1)] }
 
                                                  =
 
The probability of getting 11, P(11) = { [(1, 1), (2, 6)], [(1, 1), (6, 2)] [(1, 1), (4, 5)], [(1,1), (5, 4)]
 
                                                          [(1, 2), (3, 5)], [(1, 2), (4, 4)], [(1, 2), (5, 3)]
 
                                                           ........................................................................
                                             
                                                           ....................................................................
 
                                                           .....................................................................
 
                                                           ........................................................................................ }
 
 For P(11) proceeding like the way, then get the result. 
Hope this helps you..... 
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