SOLUTION: A six-sided die is weighted so it rolls 6 five times as often as any other number. If it rolls 6 five times in a row, what is the probability it will roll 6 on the sixth roll?

Question 1020362: A six-sided die is weighted so it rolls 6 five times as often as any other number. If it rolls 6 five times in a row, what is the probability it will roll 6 on the sixth roll?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
For this biased die, assume that each of outcomes 1, 2, 3, 4, and 5 would have probability p, while 6 would have probability 5p.
We then find the value of p.
==> p+p+p+p+p+5p = 1 ==> 10p = 1 ==> p = 1/10 or 0.10
==> 6 has probability 5p = 1/2.
==>The probability it will roll 6 on the sixth roll is
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