http://math.arizona.edu/~jwatkins/f-condition.pdf
see this link now  ithink the answer should be 65/66

bcoz the probability of selectting double headed coin after n heads
=2^n/2^n+1

and fair coin is =1/2^n+1


so for 6th head it should be :2^n/2^n+1*1+((1/2^n+1)*1/2)

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