In let them ride poker the player makes a hand with three dealt cards and two community cards. The player places three bets upfront. There are three decisions to be made. After he sees his three hand cards he can withdraw the first bet. This is the first decision. Then after he sees the first community card he can withdraw his second bet. This is the second decision. The third decision is whether or not to place the $1 side bet.
If the player already has a winning hand in the three cards, which could be tens or better or three of a kind, he should let the first bet ride. Further there are five favorable possibilities of making a winning hand when the community cards are exposed in which the player should let the first bet ride. The first is having three cards to a royal flush and the second is three cards to a straight flush. The third possibility is holding three cards to a flush with a gap of two and with two cards being 10 or higher. This allows for getting a tens or better as well. The fourth possibility is holding three cards to a flush with a gap of one and with one card being 10 or higher. The fifth possibility is 10, J, Q or J, Q, K to a straight. In all other cases the player should withdraw the first bet.
The player now has seen four cards. In the case of already winning hands the second bet should be allowed to ride. These are three or four of a kind, two pairs and tens or better. There are two other cases in which the player should let the second bet ride. One is if he holds four cards to a flush and the other is if he holds four cards to an open-ended straight.
In let them ride poker the $1 side bet offers $20,000 for a royal flush and $2,000 for a straight flush plus free entry to a million dollar tournament. No matter how attractive these prizes seem, they are not commensurate with the odds. The side bet is poor percentage play. But if the player is willing to write off the $1 then he can go ahead.