Video Poker table

Holding the three 9s gives a guaranteed three of a kind (15 credits) with draws to a full house or four of a kind. Keeping only the pair would yield lower expected value.

Holding 7s-5s-As gives an open-ended straight draw (4-6-7-8-9) plus a flush draw on spades, which is the highest-EV play for this hand; discarding the 4c and Th maximizes expected payout.

The hand contains only a low ace-high straight draw (A-2-3-5-6) with no pair or high cards. Discarding all five cards is the optimal play to maximize expected value, as keeping any subset yields lower EV than drawing five new cards.

Keep the Jack of Diamonds as a high pair is the only paying combination; drawing three cards to improve to two pair, three of a kind, or a flush maximizes expected value.

Holding the three 6s keeps a three of a kind and maximizes expected value; discarding the 3h and Td draws two cards to improve toward a full house or four of a kind.

Keep the two Kings for a pair of jacks or better; discarding the other three maximizes expected value by chasing three of a kind, two pair, or a higher pair, which dominates holding any other subset here.

Keeping the queen of diamonds is the only way to potentially make a pair of jacks or better; discarding the rest maximizes the chance to draw a high card or improve to a winning hand. The other cards form no straight, flush, or pair potential worth holding.

Keep the pair of 9s; it's the only winning combination and has the highest expected value among all hold patterns for this hand.

Keeping Kd, Qc, Jh gives a three-card royal flush draw with high expected value; discarding the 6c and 2s maximizes the chance of completing the royal or a straight flush.

Keep the Jack-high suited hearts (Ac, 9h, Jh, 7h) to chase a flush or straight flush; discarding the Ten of spades breaks the off-suit Ten and improves draw potential for the flush.

Keep the Jack of spades for a guaranteed jacks-or-better payout; discarding the other four cards gives a higher expected value than keeping any low-card draw.

Keep the pair of 9s and discard the other three cards. This is the standard optimal hold for a low pair in Jacks or Better, maximizing expected value by drawing three cards to improve to two pair, three of a kind, or better.

Holding the two 6s and the Jack keeps a pair of 6s, which is the highest-EV play among the 32 hold patterns for this hand.

Holding the pair of sixes keeps a pair and gives a chance at two pair, three of a kind, or full house; discarding the other three cards maximizes expected value over the draw.

Keep the two Jacks and the King for a guaranteed jacks-or-better payout; discarding the 3 and 2 gives a chance at two pair, three of a kind, full house, or four of a kind, which has higher expected value than keeping the King-high or chasing a flush/straight.

Keep the pair of 6s and discard the rest; drawing three cards to a pair is the standard play and maximizes expected value over the remaining deck.

Keep the Jack of hearts as the only high card; discarding the rest gives the best chance to draw a Jack or better, which is the only paying hand possible from this deal.

Keeping Q♠ and K♣ gives a pair of high cards (Jacks or Better), which is the highest-EV play here. Discarding the rest maximizes chances to draw to two pair, three of a kind, or a straight.

Holding the pair of 7s is the optimal play; it maximizes expected value by drawing three cards to chase three-of-a-kind, full house, or four-of-a-kind.

The hand has no pair, no high card of jacks or better, and no draw to a straight or flush; holding any subset yields negligible expected value, so discarding all five cards is the optimal play.

Keep Js, Kh, Qh for a high-card draw with two suited high cards; this maximizes expected value by chasing straights, flushes, and high pairs while discarding the low off-suit 7h and 3h.

Keep the T and J for a high-card draw; discarding all five yields the highest expected value when no pair, draw, or straight/flush potential exists.

Keep the J and Q for a pair of high cards; drawing three to chase a two pair or jacks-or-better is the standard play here.

Keeping the queen gives a chance at jacks or better; discarding the rest yields the highest expected value for this hand.

Keep the two aces and the jack for a pair of jacks (guaranteed payout) plus a draw to two pair, three of a kind, or full house; discarding the 3 and 2 maximizes expected value over the 47-card draw.

Keep the Jack of hearts as the only high card; drawing four cards gives the best chance at jacks or better or a straight draw.

Keep the pair of 3s and the Jc for a potential jacks-or-better payout; discarding the 9d and 6s gives the best chance to improve to two pair, three of a kind, or a higher-paying hand.

Keep the high pair (K-K) and the Ace-King suited kicker to maximize expected value; drawing three cards to the K-K with A-K suited has the highest EV among all 32 hold patterns for this hand.

Holding the three Jacks gives a guaranteed three of a kind (15 credits) and draws two cards to chase a full house or four of a kind; this is the highest-EV hold among the 32 patterns.

Keep the King of clubs as a high pair is impossible and no other draw offers positive expected value; holding a single high card is the best fallback when no made hand or strong draw is present.

The hand contains no pair, no draw to a straight or flush, and only one high card (K). Holding all five cards guarantees a loss of the 5-credit bet, so discarding all is the only rational play.

Keep the Ten of Spades as a single high card; the hand has no pair, no flush draw, and no straight draw, so holding one high card is the standard play.

Keep the pair of 7s to chase three-of-a-kind (3 credits) or better; discarding the three unrelated low cards maximizes expected value over the draw.

This hand is a 9-8-6-4-2 with no pair, no straight draw, and no flush draw. Holding any subset yields negative expected value versus discarding all five; the optimal play is to discard everything and draw five new cards.

Holding 7-6-8-7 gives a 4-card straight draw (5 or 9 completes a straight) plus a pair of 7s; discarding the 6h keeps the straight potential and the pair, which is the highest-EV option here.

Keeping Js, Kd, Qd gives an open-ended straight draw (J-high) with three outs to a straight, which has higher EV than chasing the Kd pair or discarding everything.

Keep the Jack for a chance at jacks or better; the 8-6-5-9 is a weak 4-card straight draw with no high cards, so discarding all four maximizes EV.

Keeping both Jacks gives a guaranteed pair of Jacks or better, with draws to two pair, three of a kind, full house, or four of a kind. Discarding the 9, 2, and Ace maximizes expected value versus chasing a straight or keeping the Ace high.

Keep the pair of Kings; discarding the other three cards maximizes expected value by chasing a higher-ranking hand like three of a kind, full house, or two pair, rather than settling for a guaranteed pair of jacks or better.

Keep the Jacks (Js, Ks) for a guaranteed pair of jacks; discarding the rest maximizes expected value by chasing two pair, three of a kind, or better.