Winning trades streak

Count the ways to have exactly $5$ wins and exactly $6$ wins.

1. The total number of equally likely win and loss sequences is $2^6=64$.
2. Exactly $5$ wins can occur in $6$ ways, and exactly $6$ wins in $1$ way.
3. The favorable count is $6+1=7$.
4. The probability is $\frac{7}{64}$.

Answer: $\frac{7}{64}$