Video Poker table

Three of a kind 9s is the clear hold; drawing two gives chances at quads, full house, or two pair, far better EV than keeping the king or low pair options.

Holding the three spades (A,7,5) gives flush and straight-flush draws plus high-card value; no paying pair exists, so this is the standard optimal hold.

Holding A-5-6 gives a four-card inside straight draw (any 4 completes A2345 or 4567) plus a high-card pair chance with the ace, which beats holding only 5-6 or chasing nothing.

Only a lone jack of diamonds; no pair, no draw worth holding. Holding the single high card has the best expected value.

Holding the three 6s maximizes EV: chances at quads, full house, or trips beat any alternative with this dealt three of a kind.

High pair of kings is the strongest hold; drawing three cards maximizes chances of trips, full house, or four of a kind, beating the three-diamond flush draw.

Q-9 suited is the best holding here: it keeps the high-card pair draw plus flush and straight-flush potential, beating holding the queen alone.

Holding the pair of 9s is clearly best: it keeps two pair, trips, and full house/quads chances, far exceeding the weak 3-card flush or straight options.

K-Q-J unsuited is the standard hold: three high cards give many ways to make jacks-or-better, two pair, straights, and flushes, beating holding fewer cards.

Three to a flush (Ts-Jh-7h) has higher expected value than holding the lone jack, and the draw also keeps straight/flush outs open.

Holding the open-ended 5-6-7-8 straight draw (8 outs for a straight, plus flush/straight-flush chances) beats keeping the lone low jack.

Low pair of nines is far better than the weak four-card 5-7-8-9 open-ended draw; hold the pair.

Holding the pair of sixes beats the 4-card flush draw; a made pair draws to trips/two pair/full house with higher EV than the low flush draw.

Low pair of sixes is the best hold; drawing three to improve to trips/two pair/full house beats weak three-card options like the 5-6 or T-6.

K♠-J♠ suited is the best hold: two high cards with a flush/straight-flush kicker beats holding the offsuit ace, which adds little and blocks nothing here.

Low pair of sixes is the clear hold; drawing three to a pair beats any partial flush or straight draw here.

Three suited connected-ish clubs (3c4c7c) give flush, straight-flush, and straight draws, which outperform holding only the jack.

Only two high cards (Q,K) with no flush or straight potential; holding the K-Q pair of high cards is the standard optimal play.

Pair of sevens is the clear hold; drawing three to the pair has far higher EV than chasing the low straight or flush.

Four hearts including the ace give a flush draw (plus possible straight/royal chances); discarding the 3d is clearly best.

Holding J-K-Q of hearts gives three high cards plus a three-card flush and near-royal draw, the highest-EV option over holding the lone jack.

No high pair or flush draw; holding the offsuit T-J keeps open-ended straight chances (8-9 or Q-K) plus jack-pair possibilities, which beats holding the jack alone.

Two unsuited high cards (J,Q) beat holding a single jack; discard 4s,2d,6c.

No high cards worth keeping; holding 6-7-8 gives a three-card open straight draw (5/9 or 9/T) plus flush chances with the two hearts, beating weak Q-T.

High pair of aces beats holding two suited high cards; keep Ac-As and draw three.

Hold the paying pair candidates J and A; drawing three to two high cards is the best EV option here.

Low pair of threes has higher expected value than holding the jack with three overcards; keep the pair and draw three.

Hold A-K-J high cards; three to the royal in hearts (A-J) is weaker than three unsuited high cards here, and K-A-J offsuit has solid high-pair/straight potential.

Three jacks is a made paying hand with strong quads/full house potential; holding all three is clearly optimal over two pair or other draws.

No high pair; K-T unsuited two high cards is the best hold, keeping straight and high-pair chances.

Two high cards (K, T) unsuited is the best play; discarding the low cards keeps chances for jacks-or-better or better.

Only the king is a paying high card; holding Kh alone gives the best expected value, with chances at jacks-or-better, two pair, trips, or a straight.

Holding the pair of 7s has higher expected value than chasing a queen or single high-card draws; a made pair is the best starting point here.

Holding the three spades (9-6-2) gives flush/straight-flush draws and beats the near-zero EV of discarding everything.

Two pair (6s and 7s) has EV ≈ 2.89 (4 full-house outs ×9 + 4 quad outs ×25), beating the 6s7s8s straight-flush draw (~2.64). Discard the 8s.

Holding the three high cards J-K-Q keeps the best expected value: chances for a high pair, straight draws, and a slim royal/straight-flush possibility, while discarding the 9h and 2s.

Holding the open-ended straight draw 5-6-8-9 gives 8 outs (any 4 or 7) to a straight, worth far more than holding the lone jack.

Holding the pair of jacks guarantees at least a paying pair with chances for two pair, trips, or full house; discarding a paying low pair for a weak draw is not worth it.

Holding the pair of kings is clearly best; drawing to K-high with a lone jack adds little. Pair of kings already pays and can improve to trips, full house, or quads.

Holding the suited J♠K♠ gives royal flush, straight flush, flush, straight, and high-pair chances; discarding the three low cards is optimal.