Probability questions are particularly difficult to the student, since the methods of solution are varied, and, unless the would-be solver has considerable experience, the best method of attack is not easily detected. The only way in which a satisfactory grasp of the subject can be attained is by working on a variety of problems of different kinds. The student will then find that questions in probability tend to fall into certain groups, but, even when he has arrived at this conclusion, he will discover, also, that the boundaries of these groups are by no means well defined, that a solution may often be reached by quite different lines of reasoning and that, except in the simplest cases, it will need all his experience to make a proper classification of any particular example.

The object of this note is to assist students to work on these lines by affording him examples of various kinds—with hints for their solution. We have deliberately refrained from giving the solutions in extenso, in order to encourage the student to work the examples through and sd obtain the practical experience which is so essential to proper knowledge.