This
is about as far from a poker name as you'll ever read but
it is a real game played in some card rooms and casino's
all over the world, but more often you'll find it online.
Pineapple is played with blinds and almost never with antes.
You receive three cards face down in this game and there
is a bet session, then a 'FLOP' comes face up on the table
like the game above and there is another bet session. Now
after you see the flop in this game you MUST discard one
of your three cards. After you have discarded and have two
cards the TURN, and RIVER cards come each with a bet session
exactly as in Texas Hold'em Poker. If fact this game is
just a spin off from Texas Hol'dem and after the Flop bet
session when every player has 2 cards left, the mechanics
of the game are identical to Texas Holdem. But don't think
that there is no difference at all. The diffference is in
the hands made. The average hand in this game is much higher
than Texas Hold'em since everyone started with a 3rd card
and saw the flop with all three. It becomes slightly easier
to get the premium hands of Texas Hold'em, like AA, KK,
AK etc., if you start with 3 cards.
Below is a typical before and after result
from a Pineapple High player's hand.

This player was in with a suited Ace
King of spades and a four. Then on the flop she obviously
threw away the four since the king is much higher and plus
there was a spade on the flop so there was a small possibility
of getting two more spades in a row for a flush. So the
four of hearts was out of the question for sure and keeping
the suited king was correct. The turn card brought no spade,
or ace, or king so her hand just slightly change from (AAKQ5)
to (AAKQ8). Then after the river her remained exactly the
same: One Pair of aces (AAKQ8). Sometimes the card you threw
away could have improved your hand but you have no way of
knowing the turn or river card so you just have to make
the best logically decision you can on the flop.
This precisely why the example I used had that
FOUR on the river so you can see that the player could have
had two pair, aces and fours with the queen on the flop
but it doesn't make any sense to throw down a king over
a four in hopes to get a four. Now if the four had been
in place of the five on the flop then the player would have
thrown down the king immediately and correctly. There are
no big tournaments or real high stakes versions of this
game, it's mainly just for fun and far less serious than
Texas Hold'em.