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Here's my submission. And it's not cheating because I am the one who came up with this particular hand example JT988 while writing the content for this app's page 
The closest EV decision I could find was while holding a small pair and an open ended straight draw.

Going for the straight has an EV at 3.72, with a non-qualifying hand 76.6% of the time.

Keeping the small pair resulted in a slightly higher EV of 3.97, with a non-payout hand occurring 71.29% of the time. Both hands are "drawing" hands, needing to hit another card in order to get paid. But starting with the small pair is better since there are far more payout combinations of 2 pair, trips, full houses and 4 of kinds possible. When drawing to the straight, there are only 8 straight outs, and the 3 outs to making a pair of jacks which give the player a payout. Having more outs to getting a payout also lowers the variance in the game for a player on a budget.
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Features I'd like to see added.
- Single button to clear all the card selections
- Custom payout grid on the drop-down menu (especially useful for progressive jackpot games, where the Royal Flush jackpot amount could potentially effect EV decisions when it is very large)
- Ability to calculate while holding just one card. I believe that it is preferable/+EV to hold a single A/K/Q/J vs drawing 5 new cards.
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