In the case of the Royal Jelly Flush, my guess is that it's a Royal Flush consisting of an all-slime suit. The winning combinations are shown at the top of the screen and follows the same rules as a real-life poker game. The game is lost if you don't get a winning hand after requesting a change of cards.
Before starting a game of poker, you will be allowed to change the amount of tokens you want to bet for each set of card dealt, and you will also have one chance to switch out any card or even all the cards you don't like.