rightfully

the purposes for which power can be rightfully exercised

为了权力能够正行使的目的

This comes from the mindset that you want the flush draw to fold so that they can't outdraw you and win a pot that is rightfully yours.

这种心态来自于你希望那些听同花的放弃，这样他们就会在概率以外赢了你，这是完全正确的得了。