Consider this:
You're playing a machine that pays the same for jacks or better and
two pair. You are dealt two pair: A pair of face cards and a pair of
not face cards. Since you have a guaranteed winner with the two
faces, should you throw the two other cards to open up threes- and
fours- of a kind (among other hands), or keep the two pair and stick
with the 4/47 chance for a full house? What's the statistically
better move?
Thanks