document.write( "Question 571828: Hello,\r
\n" ); document.write( "\n" ); document.write( "I'm having really hard time with probability questions on my homeworks that are being graded. \r
\n" ); document.write( "\n" ); document.write( "heres the question: A die is thrown until a 6 comes up, but only five times if no 6 comes up in 5 throws. How many possible sequences of numbers can come up?\r
\n" ); document.write( "\n" ); document.write( "I tried and thought the answer would be 6^5. This is because on die there is 6 numbers so every roll is 6 possible ways. And it can only go up to 5 throws so 6^5? I'm not sure because right now we are learning about permutations and combinations but i dont know how it relates.\r
\n" ); document.write( "\n" ); document.write( "I hope you guys can be able to answer this in one day hopefully, i procrastinated. next time ill email my questions faster. \r
\n" ); document.write( "\n" ); document.write( "Thanks so much!
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Algebra.Com's Answer #368201 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A die is thrown until a 6 comes up, but only five times if no 6 comes up in 5 throws. How many possible sequences of numbers can come up?
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\n" ); document.write( "If 6 comes up on 1st throw: the only sequence is \"6\"
\n" ); document.write( "If 6 comes up on 2nd throw: 16,26,36,46,56
\n" ); document.write( "If 6 comes on 3rd throw: there are 5*5 = 25 patterns preceeding the 6
\n" ); document.write( "If 6 comes on the 4th throw: there are 5^3 = 125 patterns before the 6
\n" ); document.write( "if 6 comes on the 5th throw: there are 5^4 = 625 patterns before the 6
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\n" ); document.write( "Count to get the total number of sequences.
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\n" ); document.write( "Cheers,
\n" ); document.write( "San H.
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