If you know a coin is biased towards heads, the most likely outcome is all heads. So you'd start by guessing all heads, then guess all combinations with one hea

If you know a coin is biased towards heads, the most likely outcome is all heads. So you'd start by guessing all heads, then guess all combinations with one head, all combinations with 2 heads, etc If you don't know the bias you can start with all heads, then do all tails, etc. Basically, anything you know about a bias allows you to sort the possible outcomes by how likely they are in your model and then try them in order from most likely to least likely.