document.write( "Question 1148974: find the probability of rolling at least one double 6 in 24 rolls of two six sided dice \n" ); document.write( "
Algebra.Com's Answer #770310 by addingup(3677)![]() ![]() You can put this solution on YOUR website! This is a very old problem. Goes back to a gambler by the name of Chevalier de Mere in the year 1717. \n" ); document.write( ". \n" ); document.write( "The probability of a double 6 is 1/36 \n" ); document.write( "The probability of not getting a double 6 is 35/36 \n" ); document.write( "The probability of not getting a double 6 24 times in a row is therefore (35/36)^24. \n" ); document.write( ". \n" ); document.write( "Thus, the probability of at least one double 6 in 24 rolls is 1−(35/36)^24 \n" ); document.write( "= 1-0.5085961238691 = 0.4914% \n" ); document.write( "You can round off to however many decimals they told you to, you didn't say \n" ); document.write( " |