The combinations of this game are very varied, and after you have won one game, you find it very difficult to play another exactly in the same manner. This difficulty is a good deal increased by the manner in which players exercise themselves, in leaving at different times a hole empty in various parts of the board, first in one place, and then in another.
There was at this time a continued and heavy fall of rain, which obliged our young friends to remain for some days within doors. Fortunately, Victor’s liberality enabled them to amuse themselves as well in the house as in the open air. In the parcel he had sent to them, there were two sorts of shuttlecock; the one we have already described, and another in which the shuttlecock is received on each side in a sort of funnel attached to a long handle. This exercise is less active than battledore and shuttlecock, because it is necessary that both the players should stand in a straight line. The
dining-room was sufficiently spacious to admit of their playing this game with perfect convenience[1].
Adela and Ernestina laughed very heartily at seeing Tee-totums among their brother’s presents; even Adriana herself thought that this play was somewhat too childish; nevertheless, after they had ridiculed Victor for sending them Tee-totums, they demonstrated at last by playing with them, that his foresight was not useless. When they had played at this game in their infancy, they had never troubled themselves to seek the signification of the letters marked on each side. All their pleasure consisted in trying who should make the totum spin the longest. Sometimes they themselves made a totum of a button-mould into which they drove a nail, a pin, or a little wooden peg. When Madame D’Hernilly explained to them what was meant by the letters engraved in black on the sides, they conjectured that the amusement had been invented by grave professors of science, or at least by some of their pupils, who had made a certain progress; for each of these letters P. A. D. T. is the initial of a Latin word expressing divers chances of the game. The letter P. is the beginning of the Latin word pone, which signifies put
down; the person who throws it is obliged to put down a counter to the pool. The letter A. is the initial of accipe, that is to say, receive; the player who throws it gains a counter. D. the first letter of the Latin word da, in English give, obliges you if you turn it up, to pay a counter. If T, the first letter of totum, which signifies all, should turn up, you take all that is in the pool.
We need hardly tell our young readers, that it is from this word totum, that the game takes its name. There are some totums that have a greater number of sides than others; this causes an infinite variety in the game, and greatly increases the chances of gain or loss. The totums with twelve sides, do not differ much from a ball in form; but they are not turned upon a pivot, they are only rolled by the hand. The sides are numbered up to twelve, he who gains the highest point wins the game, and as this play does not require any profound combinations, they have given it the familiar name of Jack.
“It is a pity,” said Adriana, “that Victor did not send us a Jack.” “Oh,” cried Adela, “we may manage to have one with two dice, which will produce the same numbers from two to twelve.” Madame D’Hernilly surprised her daughters very much by proving to them, that at the game of dice, the chances were not equal, and that they would find by calculation, it was probable they might throw one number more frequently than another.
In the first place, you can never throw the simple number 1, because you are obliged to make use of two dice; the lowest number you can produce, must therefore be 2, which is formed by the two aces; there is consequently only one means of producing this number: 3 may be formed in two ways, that is to say, with the ace of one die, and the 2 of another; and then with the 2 of the first, and the ace of the second.
Number 4 may be formed in three ways, by the double 2, by 1 and 3, and by 3 and 1. Number 5 has four chances, namely, 2 and 3, 3 and 2, 4 and 1, 1 and 4.
6 may be thrown in five different ways; first, the double 3; second, 2 and 4; third, 4 and 2; fourth, 5 and ace; fifth, ace and 5.