Video Poker table

With no made pair, no four-card flush or straight draw, the optimal Jacks or Better play is to hold the lone high card (Qh) and draw four new cards.

Holding the three tens guarantees at least three of a kind and offers chances to improve to a full house or four of a kind, which maximizes expected payout.

Holding the pair of queens is optimal; it yields a higher expected value than holding the ace kicker or any other combination.

Holding both pairs (aces and fours) keeps a guaranteed two-pair payout while drawing one card gives four outs to a full house, making it the highest-EV hold.

With only a low pair (3s) and no flush or straight draw, holding the pair gives the best expected value in Jacks or Better; the lone jack is not strong enough to justify discarding the pair.

Holding the suited J-K keeps two high cards, a two-card royal flush draw, and flush potential; its exact EV is higher than any alternative such as holding unsuited high cards or straight fragments.

Holding the low pair of 5s maximizes expected value; it offers the best chance to improve to three of a kind, two pair, full house, or four of a kind, and is superior to holding high cards or a kicker.

Holding the two unsuited high cards (K and J) maximizes expected value by giving the best chance at a paying pair or better, while no flush or straight draw justifies discarding them.

Holding the pair of 2s is the optimal play; there is no flush or straight draw, and a low pair has higher expected value than holding a lone queen or other partial draws.

With no pair, flush draw, or straight draw, the only high card is the queen. Holding the lone queen maximizes the chance at a paying jacks-or-better pair while discarding the low and unconnected cards.

Holding the pair of Kings is the highest-EV play here; there is no flush or straight draw worth pursuing, and a made paying pair beats speculative single-card holds.