I don't know what to say. The problems here are really interesting. The problems range from very easy ones to very difficult ones. There are problems on variety of prob topics including continuous prob. Some of the problems are very hard to the point you want to pull your hair out. However, it is definitly the best problems I have seen.

Interesting book, challenging for anyone who likes to work on math.

Interesting book, challenging for anyone who likes to work on math.

I got this book because I wanted to strengthen my skills with basic probability as it relates to gaming, gambling and trading.

In some areas the problems here were helpful to me, and the solutions are well explained.

In a few areas the problems were way over my head and in areas I either don't understand or am not interested in.

That said, I think anyone with an interest in the subject won't be disappointed with this thin book, except maybe wishing there was a greater variety of problem types, which was one complaint I had, the second was that the solutions were a bit too complicated, which may mean I'm just not smart enough, however, it would have been a bit stronger of a book if it had explained some of the items at a lower level (for us numbskulls).

This collection of fifty-six classic problems in probability is a first-rate work. All of the solutions are well written and easily followed. The reasoning is general enough to allow you to go on and solve related problems. Examples are birthday matching, trials until success, cooperation, gambler's ruin, and Buffon's needle.
If you have a soft spot for problems in probability, this book is an inexpensive must.

Published in Journal of Recreational Mathematics, reprinted with permission.

Working through the colorful problems in this book is a great way to (re)learn and apply basic probability principles. There is a great deal of independence between problem so you are never quite sure how tough or easy the next one will be. On the other hand, several of the problems are clearly follow-ons that allow the exploration or expansion of some of the more interesting issues.

Though I've worked through the problems a couple of times, I bought a replacement copy when my original was "permanently borrowed" from my desk at work.

Even if you are not a big probability fan, you are more than likely to find something enjoyable in this book. Some of the problems are wasy, some are hard, and some are just strange, but it makes for a very entertaining diversion for the mathematically inclined.

If Mosteller hadn't included the solutions, this would have been a short book indeed -- 56 problems simply stated in 14 pages. You'll soon find, however, that some problems, which are the shortest to set up, take a great deal of brainpower. It starts innocently enough - some simple-sounding problems on socks in drawers, flipping coins, and rolling dice. Soon enough, you end up with paper black with numbers and pictures of a flipping coin (how thick does a coin need to be so that it lands on its =side= with probability 1/3?) If you get drawn in deep (as I did), you may even wonder what probability really means.

Some of the problems are classic, such as the problem of how many people would it take for the probability that at least two of them have the same birthday is greater than a half (I'll give this answer away: 23. But do you know why?) One of the dice problems actually recalls the history of the development of probability as a separate mathematical field -- problem #19, involving dice bets that Samuel Pepys asked Isaac Newton to figure out. Some of the problems are simply openers for entire vistas in probability - avoid problems #51 and #52 if you wish to not become enmeshed in concerns of random walks (remember that one of Einstein's earliest papers was on Brownian motion - a molecular random walk.) I used problem #25, which deal with "random chords on a circle", to explore this classic probability paradox - I've ended up with three different figures, all of which seem plausible! It gets deep to what one means by "random chord".

This book, though so thin, is inexhaustible in spawning disturbing questions about probability; even more useful is that there are questions for people at =any= level of knowledge of probability. Those who wish to think about "counting" problems (like those involving rolling dice, or pulling balls out of urns) will find those here. Those who have an interest in continuous probability will find problems which will interest them. And those old probability pros who ponder the essence of chance will find meat for some productive chewing.