Question 571828
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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If 6 comes up on 1st throw: the only sequence is "6"
If 6 comes up on 2nd throw: 16,26,36,46,56
If 6 comes on 3rd throw: there are 5*5 = 25 patterns preceeding the 6
If 6 comes on the 4th throw: there are 5^3 = 125 patterns before the 6
if 6 comes on the 5th throw: there are 5^4 = 625 patterns before the 6
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Count to get the total number of sequences.
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Cheers,
San H.