From unbeatable to “at least we tried”. Your hand is the best five of your two cards plus the five shared ones.
on a fair five-card deal — the historical basis of the ranking
YesA flush (five cards of one suit) beats a straight (five in a row of mixed suits). A flush is the rarer hand, so it ranks higher.
YesA full house (three of a kind plus a pair) beats a flush. Only four of a kind, a straight flush, or a royal flush beat a full house.
YesThree of a kind beats two pair. It looks close, but trips are harder to make, so they win the pot.
YesA straight beats three of a kind. From weakest to strongest the run is three of a kind, then straight, then flush.
Four of a kind, a straight flush, and a royal flush beat a full house — nothing else does.
The higher of the two pairs decides first; if those tie, the lower pair, then the kicker. Aces-and-fives beats kings-and-queens.