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EXACT ANSWER · 9/6 JOB VS 10/7 DOUBLE BONUS

Q-J-10 suited or the pair of jacks? (It depends on the game)

On 9/6 Jacks or Better keep the jacks (1.5365 vs 1.4820). On 10/7 Double Bonus keep the royal draw (1.5430 vs 1.4562) — a line most published Double Bonus charts miss entirely.

The exact numbers — Q♠ J♠ 10♠ J♥ 3♦

HoldEV per coinvs best
JoB: high pair (J♠ J♥)1.5365best on 9/6
JoB: 3 to a royal (Q♠ J♠ 10♠)1.4820−0.0546
DB: 3 to a royal (Q♠ J♠ 10♠)1.5430best on 10/7
DB: high pair (J♠ J♥)1.4562−0.0868

EVs are exact — every possible draw enumerated, not simulated — at max bet on 9/6 JoB vs 10/7 Double Bonus. Check it yourself: the analyzer runs the same solver in your browser.

See all 32 holds of this hand ranked

Why

Double Bonus pays two pair only 1 (vs 2 in JoB), which quietly guts the pair's follow-up value — enough to flip this decision. We verified the flip across all 3,456 possible overlap hands with an exact solver; it holds for Q-J-10 and K-Q-J (never ace-high royals, and never when a 4-flush is present).

Double Bonus chart line #8 of 36 — a solver-found line that published 34-line charts don't have. See the full solver-optimized strategy chart, or drill hands with exact-EV feedback until plays like this are automatic.

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