e will be the
third drawn; suppose also that it is a 78 number lottery, and that there
are 12 drawn ballots. In this case there are evidently 78/12 = 6.5
chances to 1 against the selected number being drawn. It is also plain
that should it be a drawn number, there are 12 chances to 1 against it
being drawn in any particular order; wherefore it follows, that there
are 6.5x12 = 78 chances to 1 against the selected number being the third
or any other particular drawn number. Accordingly, to equalize the
chances, in case of winning you should receive 78x6 = $4.68; hence,
under these circumstances the insurer gains $2.18, which is nearly 100
per cent. Again, suppose it is a 98 number lottery, and that you pay 25
cents: here we have 98x25 = $24.50, the sum you ought to receive in case
of winning, instead of which you only receive 25/6x2.5 = $10.626; hence
the insurer gains $13.975, or more than 125 per cent.

PROF. GODDARD ON LOTTERIES.

We give below a very able memorial, from the pen of Prof. Goddard, of
Brown University, to the Legislature of Rhode Island.

The undersigned, citizens of Rhode Island, have long regarded the
lottery system with unqualified reprobation. They believe it to be a
multiform social evil, which is obnoxious to the severest reprehension
of the moralist, and which it is the duty of the legislator, in all
cases, to visit with the most effective prohibitory sanctions.
Entertaining these convictions, the undersigned memorialists cannot
withhold them from the Hon. General Assembly of Rhode Island. They
invoke the General Assembly to exercise their constitutional powers,
promptly and decisively, for the correction of a long-continued, and
wide-spread, and pestilent social evil. They ask them, most respectfully
and earnestly, to withdraw, as soon as may be, all legislative sanction
of the lottery system, and to save Rhode Island from the enduring
reproach of being among the last States to abandon that system. The
memorialists beg leave to disclaim, in this matter, all personal or
political considerations. They are seeking neither to help nor to hurt
any political party. They contemplate no aggression upon the rights or
the character of individuals. They are engaged in no impracticable
scheme of moral reform. They have no fondness for popular agitation.
They are what they profess to be, citizens of Rhode Island, and it is
only in the quality of citizens of Rhode Island, that they now ask the
General Ass