A specific sequence given three heads

Five fair coins are flipped. Given that exactly 33 came up heads, what is the probability that the outcome was the specific sequence THHTHT\,H\,H\,T\,H?

Show hints (2)+
  1. Given exactly 33 heads, the (53)\binom{5}{3} head-placements are equally likely.
  2. The target sequence is one of them: 1/(53)=1/101/\binom{5}{3}=1/10.

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