document.write( "Question 430186: Can I get help with this problem please:
\n" ); document.write( "In 7 rolls of 2 fair dice what is the probabilty of obtaining a sum of 11 exactly 3 times?\r
\n" ); document.write( "\n" ); document.write( "Thanks,
\n" ); document.write( "Kim
\n" ); document.write( "

Algebra.Com's Answer #298760 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi
\n" ); document.write( "P(11 with one roll of 2 dice) = 2/36 = 1/18 = .0556 P(not 11) = .9444
\n" ); document.write( "___1_2_3__4__5__6
\n" ); document.write( "1|_2_3_4__5__6__7
\n" ); document.write( "2|_3_4_5__6__7__8
\n" ); document.write( "3|_4_5_6__7__8__9
\n" ); document.write( "4|_5_6_7__8__9_10
\n" ); document.write( "5|_6_7_8__9_10_11
\n" ); document.write( "6|_7_8_9_10_11_12
\n" ); document.write( "P(7 rolls, sum of 11 exactly 3 times) = 7C3(.0556)^3(.9444)^4
\n" ); document.write( "Note: The probability of x successes in n trials is:
\n" ); document.write( "P = nCx* \"p%5Ex%2Aq%5E%28n-x%29\" where p and q are the probabilities of success and failure respectively.
\n" ); document.write( "In this case p = .0556 & q =.9444
\n" ); document.write( "nCx = \"n%21%2F%28x%21%28n-x%29%21%29\"
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