OK here's a gameplay question. Scenario: your 3rd roll is coming up. you have two pair, lets say KKQQ and the dealer also has two pair AAJJ. If you keep your two pair and roll the one die, you have a 2/6 (33.33%) chance of improving to a full house. So, is it smarter to throw away your two queens and roll 3 dice to find a 3rd king ? I was good at this back in college, but it has been a long time. I think the way to calculate this is that there are 216 possible outcomes of rolling 3 dice, so we need to find out how many of those contain at least one King. If you were doing it with two dice, it would be 11/36, but how do you figure out how many of the 216 outcomes contain at least one king without writing it all out and counting? Is my logic correct? Any math pros in here that can help me out?