### Beat the Streak Day 17: Coordinated Pick Selection

My current best pick selection model for BTS achieves roughly 78% accuracy. Looking at the table from Day Six , we can see that with an optimal pick selection strategy, my odds of beating the streak are roughly 11,800 to 1, or roughly a 0.01% chance of winning. In this blog post, I will explore methods for boosting this probability by coordinating picks across multiple accounts (e.g., friends, family, other BTS enthusiasts, etc.) To the non-mathematically inclined, one might think that with $k$ accounts our probability of beating the streak as a group would simply multiply by $k$. This simple formula is not correct, however, although it is an upper bound. If each account has a probability $p$ of beating the streak, and there are $k$ accounts, the probability that at least one account beats the streak would be $1 - (1 - p)^k$ if we (incorrectly) assume independence between accounts . For small $p$ and small $k$, this is pretty close to to the upper bound. For example, with $p=0.0