Thanks. I’ve answered penalty card questions before but because it is an important concept I’ll do it again. You are right that the expected value keeping the king and queen is the same in both hands. However, the value of tossing everything is a little bit more with the 7d than the 8d. To be exact, if you toss everything with the 7 there are 1,606 ways to make a straight, and with the 8d there are only 1,591. The more spread apart your discards are, the harder it will be to make a straight on the draw. This particular case is very borderline. Those 15 extra ways to make a straight by tossing the 7 pushes the value of tossing everything over that of keeping two to a royal. For the same reason, in a six-deck game of blackjack you double A2 against a 5 but not a 4. The value of doubling is the same in both cases, but the value of hitting is more against the 4, pushing it above the value of doubling.