document.write( "Question 951460: A fair six sided die is rolled four times in a row. What is the probability that the die will come up six at least once? Enter your answer as a percent rounded to the nearest hundredth. \n" ); document.write( "

Algebra.Com's Answer #581042 by addingup(3677) $\"\"$ $\"About$

You can put this solution on YOUR website!
You have to calculate the odds of not rolling a 6 and then subtract the result from 1.0.\r
\n" ); document.write( "\n" ); document.write( "The odds of you not rolling a 6 on a roll is 5/6 (the odds of rolling a 6 = 1/6)
\n" ); document.write( "You try again, 2nd try. Same as before:
\n" ); document.write( "The odds of you not rolling a 6 on a roll is 5/6
\n" ); document.write( "And again. Odds of rolling a six on a roll: 5/6
\n" ); document.write( "Once more. Odds of rolling a six on a roll: 5/\r
\n" ); document.write( "\n" ); document.write( "So you tried 4 times:
\n" ); document.write( "5/6 * 5/6 * 5/6 * 5/6 = 625/1296 ~= 0.482\r
\n" ); document.write( "\n" ); document.write( "Therefore, the odds of rolling a 6 within four rolls is 1 - 0.482 = 0.5177; 0.5177 x 100 = 51.77% are your odds of rolling a 6 in 4 tries, 52% if they are asking you to round the number. \n" ); document.write( "

\n" );