Video Poker table

Keep the pair of 3s; drawing three cards to a pair of threes has a higher expected value than any other hold pattern here.

Holding the Jack of spades keeps a single high card (Jacks or Better). With no pairs, draws, or suited connectors, this is the only hold with positive expected value; discarding everything else maximizes the chance to draw a paying pair of jacks or better.

Keep the high pair of Kings; drawing three cards to improve to two pair, three of a kind, or better has the highest expected value.

Keeping the pair of 5s gives the highest expected value among all hold patterns for this hand, with a chance to draw three of a kind or better.

Keeping Q-J-K-T gives an open-ended straight draw (any 9 or A completes a straight) plus a guaranteed pair of Jacks if the draw misses the straight, which has higher expected value than discarding the Queen to chase a flush.

Keep the pair of 4s. This is a standard hold for a low pair; drawing three cards gives the best expected value to improve to three of a kind, two pair, or a higher hand.

Keep the Jc and Tc for a pair of jacks (guaranteed 5 credits) and a draw to a possible straight; discarding the 9d, 6h, and Th maximizes expected value over the 47-card draw.

Keep the pair of jacks (Tc, Jd) for a guaranteed jacks-or-better payout; discarding the rest maximizes expected value by chasing three-of-a-kind or better.

Keep the Qc and Qs for a pair of queens (guaranteed jacks or better payout). Discard the 2h, 9s, and 3s to draw three new cards, maximizing the chance to improve to two pair, three of a kind, or a full house.

Holding the pair of Aces (Ac, Ad) is the optimal play. It maximizes expected value by drawing three cards to potentially improve to three of a kind, four of a kind, or a full house.

Keep the pair of sixes for a guaranteed 2-credits payout; discarding all five cards has lower expected value than holding the pair.

Keeping Jc and Ts gives an open-ended straight draw (8 outs to a straight) plus a flush draw (9 outs), with a straight paying 4 per credit. Discarding the three low clubs maximizes expected value over the 47-card draw.

Keeping Ah, Ac, 2h, 3c gives an open-ended straight draw (needs a 4 or a K for a straight) plus a pair of aces, which has higher expected value than breaking the straight draw for just the pair of aces.

This hand is a low, disconnected 9-6-5-3-2 with no pair, no draw to a straight or flush, and no high cards. The optimal play is to discard all five cards and draw fresh, since keeping any subset yields negligible expected value.

Holding the Ace and Queen gives a chance at a straight (A-2-3-4-5 or A-K-Q-J-T) with 16 outs, yielding the highest expected value among all hold patterns for this hand.

Keep the pair of eights to draw to three of a kind or better; discarding the other three cards maximizes expected value.

Keep the Qh for a high pair draw; discarding the three low diamonds breaks the flush draw but the expected value of chasing jacks-or-better with a single high card exceeds keeping the suited connectors.

Keep the Ace of Spades as a high kicker; the rest of the hand has no pair, no straight draw, and no flush draw, so drawing four cards maximizes expected value.

Holding the Ace high card maximizes expected value by keeping straight and flush possibilities open, while discarding the low pair avoids chasing a small three-of-a-kind payout.

Keep the queen and ace for a high-card draw; this maximizes expected value by chasing straights, flushes, and high pairs, which is better than discarding all five cards.

Keep the two Jacks and the two face cards (K, Q) for a guaranteed pair of jacks and a strong draw to two pair, three of a kind, or a straight; the 9c is a low discard that breaks the straight potential and adds no value.

Keeping the three-card royal flush (Ad, Ts, Th) maximizes expected value by drawing to the royal flush and straight flush, which is the optimal hold for this hand.

Keep the Jc, Qc, Qs for a high pair (Jacks or Better) and a flush draw; discard the 9c and 5h to chase the flush or improve the pair.

Keeping Kc, Ac, Kd gives a pair of kings with two high cards; this is the optimal hold for this hand, maximizing expected value over the draw.

Holding the pair of 8s is the optimal play; it maximizes expected value over all possible draws compared to keeping the Ace or chasing a straight.

Keeping the Kc alone is the optimal hold for a single high card with no pair, draw, or suited connectors; it maximizes expected value by preserving a chance at jacks or better.

Keep the Qc to chase a jack-or-better pair; the other four cards are low and disconnected, so discarding them maximizes expected value.

Holding the two Kings gives a pair of jacks or better, which pays 5 credits. Discarding the other three cards yields the highest expected value among all 32 hold patterns for this hand.

Keeping the Ace of diamonds is the optimal play; it preserves the highest potential for a straight (A-2-3-4-5) and a flush draw, while discarding the low off-suit cards maximizes expected value.

The hand contains only a pair of deuces and no high cards, so no draw offers positive expected value. Discarding all five cards is the optimal hold pattern for this deal.

Holding the two 8s gives three of a kind, which has a high expected value and improves to full house or four of a kind. The King is kept for a potential pair of jacks or better.

Holding 6s keeps an open-ended straight draw (5-6-7-8) with both ends open, maximizing the chance of completing a straight and preserving a small chance at a straight flush.

Keep the two pair (6s and 3s) for a full house draw, which is the highest EV play.

Keep the pair of 8s and discard the other three cards; this is the standard play for a low pair, which has the highest expected value among the 32 hold patterns for this hand.

Keeping the three high cards (Tc, Qc, Kd) plus the pair of 5s gives a full house draw with high expected value, beating the alternative of keeping only the two 5s for a pair.

Holding four to a royal flush (Jc, Qd, Kc, Ac) maximizes expected value, as it offers the highest potential payout among all possible draws.

Only the Qh qualifies as a high card (Jacks or Better). Keeping it gives the best expected value among all 32 hold patterns for this hand.

Keep the two Kings for a pair of jacks or better; the remaining cards are low and disconnected, so holding only the pair maximizes expected value.

Keep the pair of jacks and discard the 6s, 3d, and Td to draw three cards for a chance at three of a kind, full house, or four of a kind.

Holding the pair of fours keeps a guaranteed 5-credit payout and preserves the best chance to draw three of a kind or better; discarding the Ace and the three low suited cards avoids chasing a low-probability flush or straight.