There is a protocol for this... you flip the coin twice. HH or TT you ignore, HT or TH you keep (and treat as H or T). This eliminates any bias towards H or T t

There is a protocol for this... you flip the coin twice. HH or TT you ignore, HT or TH you keep (and treat as H or T). This eliminates any bias towards H or T that the coin or flipping procedure may have.