Video Poker table

Holding the pair of 4s keeps a guaranteed two-pair or better draw and maximizes expected value over discarding the three unpaired cards.

Keeping the Td and Ks gives a high-card draw with a chance at a flush (3 diamonds remaining), straight (open-ended with 9 and T), or two pair / jacks-or-better. Discarding the unpaired low cards maximizes expected value over this weak starting hand.

Holding K-K-K-A keeps a three of a kind with a high kicker and an Ace for a potential straight draw, maximizing expected value over discarding the 3.

Holding 6s, 5d, 7c, As gives an open-ended straight draw (4-5-6-7-A) needing an 8 or 2 to complete, which has high expected value compared to discarding all or keeping only the Ace.

Keeping the Jack and Ace gives a pair of high cards (Jacks or better) with a guaranteed 1-credit payout, and the Ace also keeps a few straight-draw outs (e.g., 2-5 or 5-2 for a straight). Discarding the 6, 4, and 3 maximizes expected value compared to keeping only the Jack or chasing a weak low straight draw.

Holding Ts and Td keeps a pair of tens (a paying jacks-or-better hand) and gives the highest expected value among the 32 hold patterns for this deal.

Keeping As, Js, Ts, Ad gives an open-ended royal/straight flush draw plus a pair of Aces; discarding Kh breaks the flush and straight flush possibilities while preserving the highest EV draw.

Keep the pair of 9s and discard the rest; this is the standard optimal hold for a low pair, maximizing expected value by chasing three of a kind or better.

Holding the pair of 4s gives the highest expected value; discarding the three unpaired cards maximizes the chance of improving to three of a kind or better.

Keep the pair of 3s for three-of-a-kind potential; discard the other three cards to chase the higher-paying draws.

Keeping Kh, Ad, Qd gives a two-card royal flush draw plus a straight draw (K-A-Q with 5s). Discarding the 5s maximizes expected value by chasing the royal flush and straight flush while retaining a strong high-card hand.

Keeping Jc, 9c, Ac gives a suited 3-card straight draw (8-T-J-Q-K) with two high cards; discarding 3c and 8h maximizes expected value by chasing the straight, flush, and high-pair outcomes.

Keeping Jd and Qd preserves a two-card royal flush draw, which has the highest expected value among all 32 hold patterns for this hand. The other three cards (2h, 9h, Ac) are discarded because keeping them would only yield lower-value draws like a pair of jacks or a low straight.

The hand is 6h 4d 3s Js 5h, which forms an open-ended straight draw (3-4-5-6) with a Jack. Holding the four suited/connected cards (6h, 4d, 3s, 5h) yields the highest expected value by drawing one card to complete a straight, flush, or other made hand, so I discard the Jack.

Only the Ten is worth keeping; the rest are disconnected low cards with no pair, straight, or flush potential. Holding the Ten maximizes the chance of pairing it for a paying hand.

Keeping the Jack of Diamonds gives a chance at a pair of jacks or better; discarding the rest is the optimal play for this weak hand.

Keep the pair of 5s for the chance at a full house or four of a kind; discard the J and K to chase a straight with the A-5 draw.

Keep the Jack and Ten for a potential straight draw; discarding the rest maximizes expected value by chasing straights, flushes, or high pairs.

The hand contains no pair, no high card worth keeping (only Qc), and no draw to a straight or flush. Holding nothing maximizes the chance of drawing a paying hand from a fresh 5-card draw.

Keeping the Ace and Ten gives an open-ended straight draw (Ace-low A-2-3-4-5 and 8-9-T-J-Q) with 16 outs to a straight, which has higher expected value than discarding all five cards.

Keep the pair of Kings and discard the other three cards to draw toward three of a kind, full house, or four of a kind, which has higher expected value than keeping any other combination here.

Holding the pair of nines plus the queen keeps a made pair and preserves multiple straight and flush draw possibilities, which has higher expected value than keeping only the pair or chasing the flush alone.

Keeping the two Queens and Ace gives a pair of Queens with an Ace kicker, which is the optimal hold for this hand. Drawing three cards maximizes the chance to improve to two pair, three of a kind, full house, or a straight.

The dealt hand is 4s 5c Qs 2d 3h, which is a low, disconnected garbage hand with no pair, no draw to a straight or flush, and no high cards worth keeping. The optimal play is to discard all five cards and draw fresh, as keeping any subset yields negligible expected value.

Keep the Qc to chase a royal flush in clubs; the other four cards are low and disconnected, so discarding them maximizes expected value.

Keep the two 9s and two 7s for a guaranteed two pair (10 credits) and draw one card to try for a full house; discarding the King preserves the higher-value pair of 9s and keeps the full-house draw alive.

This hand contains no pair, no high card worth keeping (only a King), and no draw to a straight or flush. The optimal play is to discard all five cards and draw a fresh hand, as keeping any subset has lower expected value than starting over.

Keep the pair of 9s for three-of-a-kind potential; discard the 8d, 5d, and 9h to chase a straight or higher hand. The Qh is kept as a high card for a possible jack or better payout.

Keeping Js, 5s, 6c gives a made straight (5-6-J) with a chance to complete a straight flush on the draw, which has much higher expected value than discarding to chase a flush or a low pair.

Keeping the pair of 5s plus the three high cards (K, J, 5) maximizes expected value by preserving a made pair while giving a chance at two pair, three of a kind, or a high-card payout.

Keep the pair of sixes and the ten for a potential straight draw; discarding the queen and two allows drawing three cards to improve to two pair, three of a kind, or a straight.

Keep the pair of 3s; drawing three cards to a pair of threes has the highest expected value among all 32 hold patterns for this hand.

Holding As, 7s, 4s keeps a 4-card straight flush (As-7s-6s-5s-4s) with one gap, which has high expected value. The pair of 6s is discarded because the straight flush potential outweighs keeping the pair.

Holding the two Aces and King gives a guaranteed pair of Aces (Jacks or Better) with strong draw potential for two pair, three of a kind, full house, or four of a kind. Discarding the 9h and Td maximizes expected value compared to keeping a suited King-high or chasing a straight.

Holding the three queens gives a guaranteed three of a kind (15 credits) with high expected value, and the two low cards do not improve the hand enough to justify discarding any queen.

Keep the Jack of Spades as the only high card; discarding all four low cards maximizes the chance of drawing a pair of jacks or better, which is the optimal play for this hand.

Holding the three low cards (10-5-4) keeps a 3-card straight draw (9-8-7 and 6-5-4) with multiple outs to a straight, which has higher expected value than discarding everything for a random draw.

Holding 3d-7d-8h-6d keeps an open-ended straight draw (4-5-6-7-8) needing a 5, which has a higher expected value than discarding all five cards.

Holding Kc, Ah, Ac keeps the pair of Aces and both hearts for a flush draw, maximizing expected value over the remaining two cards.

Holding the two tens gives a pair of jacks-or-better, which already pays 5 credits, and keeps both straight draws (9-10-J-Q-J and 7-8-9-10-J) open, maximizing expected value over discarding the rest.