document.write( "Question 603486: A pair of dice is rolled three times. Find the probability that at least two sums are 7.
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document.write( "I am trying to figure out if I should use combinations or not and how to consider that it says at least. \n" );
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Algebra.Com's Answer #380726 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! this is a binomial probability ___ either 7 or not 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there are 6 ways to get 7 out of 36 possible outcomes ___ so the probability of 7 (on any roll) is 6/36 or 1/6 \n" ); document.write( "___ P(s) = 1/6 , P(n) = 5/6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the expansion is ___[P(s) + P(n)]^3 = s^3 + 3s^2n + 3sn^2 + n^3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "at least two means the sum of the first two terms (with s^3 and s^2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = (1/6)^3 + [3 * (1/6)^2 * (5/6)] \n" ); document.write( " |