Video Poker table

Keeping Ace and King of clubs gives the best chance for a royal flush, straight flush, or flush, and also leaves open straight possibilities with the remaining deck.

Keep the pair of jacks for a guaranteed jacks-or-better payout; the 7-6-9 discards give a chance at straights or two pair, which has higher expected value than keeping the 9 alone.

This hand has no pair, no high cards, and no straight or flush potential, so the optimal play is to discard all five cards and draw a fresh hand.

Keep the four spades (As, 8s, 3s, 6s) to draw one card and chase the flush, which has the highest expected value among the 32 hold patterns for this hand.

Keep the Jack of spades as a high pair is the only paying option; discarding the rest maximizes expected value by chasing a three of a kind, full house, or two pair draw.

Keep Ace-King high cards for a potential pair of jacks or better; discarding the low unsuited cards maximizes expected value.

No pair and no high card worth keeping; drawing five new cards maximizes expected value.

Keep the queen (high pair) and the ten for a potential jack or better draw; discarding the low off-suit cards maximizes expected value over chasing a weak 5-6 straight draw.

Keeping Kc and Jh gives a chance at a high pair (Jacks or Better) and potential straights, while discarding the low unpaired cards maximizes expected value.

Keeping the Q and J gives the best expected value by drawing three cards to chase a straight, two pair, or high pair. The other cards are disconnected and do not improve the hand.

Only the Jack of spades is a high card (Jacks or Better). Keeping it and discarding the other four gives the best chance at a pair of jacks or better; keeping any low cards would yield a lower expected value.

Keep the two aces for a pair of jacks-or-better base; the 5d-7c-2c discards give many outs to two pair, three of a kind, or a full house, which has higher EV than chasing a flush or straight with this scattered low board.

Keeping the pair of 5s is the optimal hold; it maximizes expected value by drawing three cards to chase three-of-a-kind, full house, or four of a kind, which beats the expected value of keeping the 5-6-7-T straight draw.

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 holding only the Ace maximizes expected value.

Holding the pair of 9s 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, which beats discarding all five for a random hand.

Keep the Jack of hearts for a guaranteed jacks-or-better payout; discarding the other four cards gives a higher expected value than keeping the Ace-high suited cards for a flush draw.

Keep the 4-3-3-4 two pair for a guaranteed 10 credits; drawing two cards has far lower expected value than holding the made hand.

Keeping K-J-A-Q and discarding the 2c gives a draw to a royal flush (K-J-Q-A of diamonds) plus multiple straight and high-pair backups; this is the highest-EV hold among the 32 patterns.

Keep the high-card suited Ts and Ks for a potential royal/straight flush draw; the off-suit Ac is a weak kicker and 7s/2h are dead cards.

Keeping Kh and Qh preserves a flush draw with 11 outs to a flush (pays 30) and leaves open straight possibilities; discarding the rest maximizes expected value over this weak starting hand.

Keeping Ad, Js, Tc, Qh gives an open-ended straight draw (Ad-2-3-4-5 through 9-10-J-Q-K) plus a flush draw, yielding the highest expected value among the 32 hold patterns for this hand.

Holding all five cards is a guaranteed loss of 5 credits with zero EV. Discarding everything gives a chance at a straight (4-5-8-A-2 can draw to a straight), three of a kind, or two pair, which has positive expected value versus a dead hand.

Holding Kh and Th gives a high-card hand with a potential inside straight draw (Q-J) and flush draw; this maximizes expected value compared to discarding all or keeping a single king.

Keeping Ad, Qd, Js gives a flush draw with a high card; drawing two cards maximizes expected value over chasing the flush, a straight, or a pair of jacks.

Keeping Kc and Qh preserves a high pair (Jacks or Better) worth 5 credits, which is the best expected value among the 32 hold patterns for this hand. The three discards give a chance at straights or flushes, but the pair is the only guaranteed winner.

Keeping the Ts is optimal; it gives the best chance to draw a straight (9-8-7-T-x) or a high pair, while discarding the rest maximizes expected value for this hand.

Keep the J and K for a guaranteed jacks-or-better payout; discarding the rest maximizes expected value over the remaining draws.

Keeping the Ace of spades gives the best chance to draw a pair of jacks or better, or a straight/flush draw; discarding the low pair of 4s is optimal here since a pair of 4s pays nothing and the Ace high card offers more potential.

Holding 7d, 8s, 6d, 7h keeps a 4-card straight (6-7-8) with a pair of 7s, which is the highest-EV draw among the 32 patterns; discarding the 4c maximizes expected payout.

Keep the pair of 2s; drawing three cards gives the best chance at three of a kind or better, which has higher expected value than discarding all five.

Keeping the pair of Kings is the optimal play; it guarantees at least a pair of jacks or better and maximizes expected value over the draw.

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

The hand contains no pair, no high card (only a jack), and no draw to a straight or flush, so discarding all five cards maximizes expected value by keeping all draw possibilities open.

Holding the pair of twos keeps a pair and gives the best chance to improve to two pair, three of a kind, or four of a kind; discarding the rest maximizes expected value.

Holding the 9-8-3 suited gives a flush draw with 10 outs, yielding an expected value of about 1.28 credits per 5-credit bet, which is higher than discarding all five cards or chasing any other draw from this hand.

The hand contains no pairs, no high cards (J/Q/K/A), and no flush or straight draws, so it has essentially zero expected value. Drawing all five cards maximizes the chance of improving to any paying hand.

Holding both Jacks keeps a guaranteed pair of Jacks (Jacks or Better) and gives the best chance to draw trips or two pair; discarding the 2s and low cards avoids a weak two-pair draw with no redraw value.

Keep Ks and 3h to chase the flush (13 hearts remaining in 47 cards gives ~51% chance of a flush, worth ~3.07 credits EV, far above any other draw).

Keep the Kd-Ks-Ad for a high pair plus a potential straight draw (A-K-Q-J-T). Discarding the 5s and Tc maximizes expected value over the 47-card draw.

Keep the Jack of hearts as the only high card; discarding the rest gives the best chance to draw a pair of jacks or better, which is the optimal play for a single high card with no draw potential.