You would let your first bet ride if your first three cards contain any of the hands listed below; otherwise you should remove your bet. Generally to let your bet ride you want a paying hand, or three cards to a royal or straight flush with the exceptions noted below.
 
First Three Cards-Let It Ride
* Any paying hand (high pair, three-of-a-kind)
* Any three cards to a royal flush (e.g. 10, J, K or clubs)
* Three consecutive cards to a straight flush (e.g. 4,5,6 of spades) with the lowest card a 3 or higher (i.e. do not let the first bet ride with A, 2, 3 or 2, 3, 4 suited)
* Three almost consecutive cards to a straight flush where there is a 4 card spread with at least one high card (e.g. 7, 8, 10 of clubs)
* Three almost consecutive cards to straight flush where there is a 5 card spread with at least two high cards (e.g. 7,10, J of hearts).

The 4 card playing strategy is straightforward. You generally need to have either a winning hand or close to a winning hand to let your second bet ride.

First Four Cards-Let It Ride
* Four cards to a royal flush
* Four cards to a straight flush
* Four cards to a flush
* Four-of-a-kind
* Three-of-a-kind
* Two pair
* A pair of 10's, J's, Q's, K's, or A's
* Four consecutive cards to a straight with at least one high card.