I can't figure out why a flush is ranked higher than a straight
From personal experience, it's alot easier to get a flush
than it is a straight.
Using Texas Hold'em to illustrate. Assume your two hole
cards are suited and the flop comes with two more of the same
suit. The odds of a 3rd card of the same suit hitting to make
your flush is 1/4. Right?
Now let's say you have connected hole cards (e.g. 7-8) and
the flop comes 10-9-3. You have an open ended straight draw
and the possibility of getting that Jack or 6 to complete the
straight is 2/13. That's less probable than the 1/4 chance of
making a straight and this is for an open ended straight draw.
If you are looking for an inside straight draw (e.g. you hold 7-8
and the flop comes J-9-3, you need a 10) than it's an even
worse 1/13 chance.
Seriously, from experience it's alot easier to make a flush
than it is a straight. Hell, I'd guess that poker players make
flushes more frequently than a 3 of a kind yet that is also ranked
lower as a poker hand.
Any statisticians or poker experts care to enlighten me?