In: Physics
In the card game Poker, a royal flush is an unbeatable hand. It
is composed of an ace, king, queen, jack, and 10 all of the same
suit. There are four possible royal flushes:
A♣️, K♣️, Q♣️, J♣️, 10♣️.
A♠︎, K♠︎, Q♠︎, J♠︎, 10♠︎.
A♥️, K♥️, Q♥️, J♥️, 10♥️.
A♦︎, K♦︎, Q♦︎, J♦︎, 10♦︎.
As you may expect, the probability of being dealt a royal flush is
incredibly tiny. "Any poker player who has ever been dealt a royal
flush will remember it for the rest of his or her life."
There are other hands that are less impressive than a royal flush.
The least valuable hand is a bunch of unrelated numbers (e.g. not
the same, not in a row) of different suits. For example, the
hand
4♦︎, 3♦︎, J♥️, 2♠︎, 7♦︎.
is worth almost nothing. Let's call it a "lousy hand."
It turns out that this is a good analogy to understand entropy. A
specific hand that one is dealt is a microstate. The classification
of the hand ("royal flush" versus "lousy hand") is a
macrostate.
Explain the difference between "microstates" and "macrostates" in this poker analogy.