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of the five, and 566 to 1 you do not lose all five.

When there are only two battles to fight, it is 5 to 1 you do not win both, when the odds are six to four against you; and 13 to 1 you 금 do not, when each battle is six to four for you. When the odds are 2 to 1 for you, it is five to four you do not win two battles running; and eight to one you do not lose both. When there are four battles to fight, and the odds are 2 to 1 for you, then it is 65 to 16, or 4 to 1 you do not win all four; but it is 80 to 1 you do not lose all. And if the odds are 2 to 1 for you, then it will be 131 to 132 that you do not win four out of the five, and 211 to 32, or 612 to 1 you do not win all five; but it is 233 to 11 you do not lose four out of the five; and 242 to 1 you do not lose all five; and likewise it is 1248 to 939 you do not win five out of seven, and 1911 to 276 you do not win six out of seven, and 2059 to 128 or 16 to 1 you do not win all seven; but it is 2078 to 109 you do not lose five out of seven; and 2172 to 15, or 1444 to 1 you do not lose six, and 2186 to 1, not all seven.

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The odds of a match in which there are even battles, and one side is three, four, or any other number of battles a-head, it is double the odds you do not tie the match, more the odds you do not win it, less one to

two.

For example-Suppose in a match of thirty battles, one side was three a-head, and but

1

seven battles to fight, then the other must win five out of the seven to tie, and six out of seven to win the match: look in the table and you will find it is 313 to 1, not 5, and 15 to 1, not 6 out of 7. The double of 312 is 624 more, 15 is 21 24 less, 1 is 20 24 to 2 in the odds of such a match. Suppose nine battles to fight, and one side is five battles ahead, then the other side must win seven out of 9 to save, and eight out of 9 to win, therefore the odds will be 69 43 to 1.

The Odds on different successive Battles or Events, supposing each to be equal.

It is about an equal chance that any particular side wins three successive battles in ten: four in twenty two, or five in forty-four.

About an equal bet that one side or the other gains three successive battles in five, twice three in twelve, thrice three in nineteen, four times in twenty six, five times in thirty five, and six times in forty.

Also, That four successive battles are won, once in eleven, twice in twenty six, and thrice in forty one, that five successive victories occur in twenty two, and twice five in fifty three engagements, and likewise that six successive events are gained once in forty four.

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Suppose even Bets on both Sides, then one wins

5 to ............3,

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A TABLE,

Shewing the Odds against each Side winning Two Battles running.

The Strong Side.

Odds in each.

The Weak Side.

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