Video Poker table

The pair of fives is the best holding; drawing three to a low pair has far higher EV than any other combination here.

Holding the low pair of 4s and drawing three has EV ~0.82/credit, beating the unsuited A+Q high-card hold (~0.72); keeping extra high cards with the pair only wastes draw equity.

No pair or strong draw; holding the two high cards (As, Jc) gives the best expected value for a jacks-or-better pair plus straight/flush chances, beating the weak suited A-3-7 three-flush.

The pair of aces is a high pair, which outranks holding three high cards (K-A-J) or two suited high cards in 9/6 Jacks or Better; discarding kickers maximizes improvement chances (EV ~7.68 vs ~6.5 for the three-card hold).

Holding the pair of aces and drawing three maximizes EV (~11.9 credits): chances at trips, quads, full house, and two pair outweigh any marginal additions like the 4h/5h.

Holding the pair of 9s maximizes expected value: it can improve to trips, full house, or four of a kind, while the 7s-4s-3c offer no viable draw.

No pairs, flush, or straight-flush draws exist; the optimal hold is the two unsuited high cards (As, Kh), which maximizes expected value via chances at a high pair or straight. Adding the low diamonds would only lower EV.

The pair of sixes is a made paying draw with strong chances to improve to two pair, trips, or a full house; in 9/6 Jacks or Better a low pair outranks holding only Q-K unsuited high cards.

The pair of twos is the best holding; drawing three cards maximizes chances at trips, quads, or two pair, which beats holding the ten alongside.

A high pair of aces has the highest expected value (~7.7 credits) versus any other hold here; drawing three to the pair maximizes chances at two pair, trips, full house, or quads.

Holding the open-ended 5-6-7 gives eight outs to a straight plus chances at pairs, which beats drawing to two hearts for a flush or discarding everything.

Holding 4-5-6 gives an 8-out straight draw (3 or 7) plus pair/trips chances; no high cards or flush draws exist, so this is the highest-EV hold.

A low pair (2s) has higher EV than two suited high cards; hold the pair and draw three.

No pair; three high cards (J, Q, A) beat holding two, giving the best chance at a high pair or better.

A dealt low pair (8s) has the highest expected value among all 32 hold patterns here; drawing three to the pair beats any two- or three-card flush/straight possibilities.

Only paying option is the lone king; hold Ks and draw four.

Holding three tens gives strong chances for quads, full house, or two pair, far better EV than keeping low cards.

Holding K-Q-J-T keeps a high-card double-inside straight draw (any A or 9 completes a straight) plus three overcard high-card pair chances; the 5c and 7h add nothing.

Holding the low pair of threes draws to trips, two pair, or a full house with EV ~0.82, which beats holding the lone king (~0.47) or adding the king as a kicker (~0.64).

Aces up two pair is already made and pays 10 credits guaranteed. Drawing one to two pair yields only ~3.8 EV, and holding just the aces is ~7.7, so standing pat is clearly best.

Holding the pair of kings is clearly optimal; drawing three gives shots at trips, full house, or quads, and no other hold (suited 5-9, lone king, etc.) comes close in EV.