**Introduction**

This book is one of the best probability
books written. The explanations are very clear while at the same
time the material covered is more advanced and interesting that
what is commonly presented in undergraduate textbooks on
probability. The problems are a real treasure, in that they are
very interesting and challenging. Earlier I was working with a
few students who are taking a MIT course 18.440
using this book. As they worked through the book, I worked the problems also and wrote up my solutions.

When I made this write-up, I was working with the *seventh* edition of this book.
I don't think there are many differences between later/earlier editions, however.

**Update (2013-07-21)**: After about 10 years of giving this material away for free (in PDF format) I've decided to
try to sell copies of it on Amazon. Please look here for the most
recent version of the solution manual.

Rather than use a calculator or do any numerical calculations by hand, I used Matlab in many cases. You can any scripts or functions (often very short) created for a problem in the links below.

- chap_1_st_13.m (the calculations for this problem)

- chap_2_prob_26.m (calculations on the probability we win at craps)

- chap_2_prob_27.m (calculations A will draw a red ball first)

- chap_2_prob_45.m (verification of the probabilities)

- chap_3_prob_3.m (simple calculations)

- chap_3_prob_13.m (calculations for this problem)

- chap_3_prob_14.m (calculations for this problem)

- chap_3_prob_28.m (calculating hands of cards)

- chap_3_prob_29.m (calculations for this problem)

- chap_3_prob_32.m (calculations for this problem)

- chap_3_prob_36.m (calculations for this problem)

- chap_3_prob_41.m (calculations for this problem)

- chap_3_prob_71.m (calculations for this problem)

- chap_3_prob_79.py (calculations for this problem)

- chap_3_prob_82.nb (calculations for this problem)

- chap_3_prob_85.py (calculations for this problem)

- chap_4_prob_4.m (some simple calculations for this problem)

- chap_4_prob_15.m (numerically evaluates some sums)

- chap_4_prob_22.nb (mean of the number of games to played to win by i)

- chap_4_prob_33.m (some calculations for this problem)

- chap_4_prob_36.nb (variance of the number of games played to win by i)

- chap_4_prob_46.m (some calculations for this problem)

- chap_4_prob_57.nb (evaluation of the Poisson distribution for this problem)

- chap_5_prob_4.m (calculations for this problem)

- chap_5_prob_11.m (the location of the integration points for problem 11)

- chap_5_prob_21.m (standard normal calculations for this problem)

- chap_5_prob_22.m (Matlab calculations for this problem)

- chap_5_prob_28.m (Matlab calculations for this problem)

- chap_5_prob_30.m (simple calculations for this problem)

- chap_5_prob_38.m (the location of the integration point for problem 38)

- chap_5_te_27.nb (the second derivative of the beta distribution)

- chap_5_st_10.m (Matlab calculations for this problem)

- chap_5_st_11.m (Matlab calculations for this problem)

- chap_6_prob_14.nb (the some algebra for this problem)

- chap_6_prob_27.m (produces plots of the correlation integrands)

- chap_6_prob_32.m (Matlab calculations for this problem)

- chap_7_prob_48.m (Matlab calculations for this problem)

- chap_7_prob_68.m (Some Matlab calculations for this problem)

- chap_8_prob_3.m (the simple Matlab calculations for this problem)

- chap_8_prob_4.m (the simple Matlab calculations for this problem)

- chap_8_prob_5.m (the simple Matlab calculations for this problem)

- chap_9_prob_2.m (simple Matlab calculations for this problem)

- chap_9_prob_3.m (Matlab calculations for this problem)

John Weatherwax Last modified: Sun Aug 25 08:23:35 EDT 2013