Royal Flush Bonus Quandry
I play small stakes at Bodog
, where there is a bonus (50BBs) for hitting a royal flush. I limped in on the button, behind three other limpers, with QJ hearts and the blinds called. The flop brought AT5 of hearts; giving me the second nuts and leaving me two draws at one out for the royal. 6BBs in the pot, I don't want to bet everybody out and not get the draws, so I call a minbet from the player on my right. One other player calls, so now it's 9BBs in the pot.
The turn brings another ten. The guy on my right bets 5BB, I call, and the other player folds. The turn comes another ten, and I lose my last 18BBs to Ax.
On reflection, I think I probably should have tried to buy the pot after the turn. The EV of winning the bonus was only about 1/25 to win 50BB. Now, I'm thinking that I should have tried to buy it on the flop, comparing the EV of winning 6BBs to the EV of hitting the bonus.
On the other hand, I had a possible EV of winning the bonus, and a big hand, if I called the flop and saw the river. It was pretty unlikely that the board would give somebody a better hand. So, trying to buy the hand post-flop seems like it would have been wasting a good opportunity to win a big hand.
So, my conclusion is that the best way to play this hand would have been to push (or bet half my stack) after the turn.