lite, that thing what I'm looking for isn't binary option. It's rather parimutuel betting (or totalisator). Important difference is "winning trades pay out slightly less than 100% and typical payouts range between 80-85% depending on the broker" in binary option and "payoff odds are calculated by sharing the pool among all winning bets" in parimutuel betting.

For better understanding I attached link of the idle page that copies "Bitcoin Betting" exactly how it was at btc-e.
https://inikas.com/bets