document.write( "Question 1177819: What is the probability that the sum is less than or equal to 9
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document.write( "in three rolls of a die ? \n" );
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Algebra.Com's Answer #806958 by ewatrrr(24785)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Hi\r\n" ); document.write( "three rolls of a die: 6^3 = 216 ways they can be rolled.\r\n" ); document.write( "• 3 = 1 + 1 + 1 , 1 way\r\n" ); document.write( "• 4 = 1 + 1 + 2 , 3 ways * 3!/2!\r\n" ); document.write( "• 5 = 1 + 1 + 3 = 2 + 2 + 1, 6 ways 3!/2! + 3!/2!\r\n" ); document.write( "• 6 = 1 + 1 + 4 = 1 + 2 + 3 = 2 + 2 + 2 10ways 3!/2! + 3! + 1\r\n" ); document.write( "• 7 = 1 + 1 + 5 = 2 + 2 + 3 = 3 + 3 + 1 = 1 + 2 + 4 , 15 ways etc\r\n" ); document.write( "• 8 = 1 + 1 + 6 = 2 + 3 + 3 = 4 + 3 + 1 = 1 + 2 + 5 = 2 + 2 + 4, 21 ways\r\n" ); document.write( "• 9 = 6 + 2 + 1 = 4 + 3 + 2 = 3 + 3 + 3 = 2 + 2 + 5 = 1 + 3 + 5 = 1 + 4 + 4, 25 ways\r\n" ); document.write( "P(sum ≤ 9) = 1+3 +6+10+15+21+25 = 81/6^3 = 81/216 = 3/8 \r\n" ); document.write( "Wish You the Best in your Studies.\r\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |