@Dave: I guess 17/18 is correct. Since we have to *calculate the probability
of getting a head in the 6th flip given that first 5 flips are a head*. Can
you please explain how you got the values of consequent flips when you said
this?

*"In fact, the probability is 3/5 for the first flip. After a head is
flipped, the probability of a head is 2/3. After two heads have been
flipped, it is 3/4. After 3 heads, it is 5/6. After 4 heads, the
 probability is 9/10, and after 5 heads, the probability is 17/18."*

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