College Algebra, Chapter 10, 10.3, Section 10.3, Problem 28

What is the probability that a 13-card bridge hand consists of all cards from the same suit?

There are $C(52,13)$ possible 13-card bridge hands. In which only four are of one suit. The chances of being dealt a hand of 13-cards of the same suit are

$\displaystyle \frac{4}{C(52,13)} = \frac{4}{635,013,559,600} = \frac{1}{158,753,389,900}$