Foster's Complete Hoyle: An Encyclopedia of Games / Including all indoor games played to-day. With suggestions for good play, illustrative hands, and all official laws to date

by R. F. Foster

(1) An average go-in hand is a hand which will win its proportion of the pools, according to the number playing, taking all improvements and opposition into account. This can be demonstrated to be a pair of tens.

(2) The draw is much more valuable to a weak hand than to a strong one, and weak hands will improve in much greater proportion than strong ones will. For instance: The chances for a player to improve by drawing to a pair of Queens are one in three and a half. He may make two pairs, or triplets, or a full hand, or four of a kind. The chances of improvement for a player drawing to two pairs, say Eights up, are only one in thirteen. This consideration leads players to adopt two lines of play: To bet all they intend to on two pairs before the draw, in order to prevent weaker hands drawing cards and improving; or, to discard the smaller pair in order to increase their chances of improvement.

(3) The smaller the number of players, the greater the value of the hands; and the larger the number of players, the greater the chance that any given hand will be beaten. When only two play, you can safely bet the limit on a pair of Eights; but in a party of eight players they are hardly worth drawing to. For this reason average hands should force the weaker out, and reduce the number of players before the draw.

For the benefit of those interested in such matters the probable improvement by the draw may be briefly given.

It is 2½ to 1 against improving a pair by drawing three cards; the chances against making triplets or two pairs being 8 to 1; against a full hand, 61 to 1; and against four of a kind, 364 to 1. It is 4 to 1 against improving a pair by drawing two cards; the chances against triplets being 12 to 1, and 8 to 1 against two pairs.

It is 12 to 1 against making a full hand by drawing to two pairs.

It is 8 to 1 against improving triplets by drawing two cards; 14½ to 1 against a full hand, and 23 to 1 against four of a kind. It is 12 to 1 against improving if one card is drawn; 16 to 1 against the full, and 46 to 1 against four of a kind.

It is 11 to 1 against making a straight out of a sequence of four cards which is open in the middle, or at one end only. It is 5 to 1 against making a straight out of a sequence of four which is open at both ends.

In-between Straight. Open-end Straight.