LII. A demonstration of the second rule in the essay towards the solution of a problem in the doctrine of chances, published in the Philosophical Transactions, Vol. LIII. Communicated by the Rev. Mr. Richard Price, in a letter to Mr. John Canton, M.A. F. R. S

Abstract

Dear Sir, I send you the following supplement to the essay on a problem in the doctrine of chances, hoping that you may not think it improper to be communicated to the Royal Society. I should not have troubled you again in this way had I not found that some additions to my former papers were necessary in order to explain some passages in them, and particularly what is hinted in the note at the end of the appendix. "I have first given the deduction of Mr. Bayes's second rule chiefly in his own words; and then added, as briefly as possible, the demonstrations of several propositions, which seem to improve considerably the solution of the problem, and to throw light on the nature of the curve by the quadrature of which this solution is obtained."