Discrete Probability pp 135-163 | Cite as

# Approximating Probabilities

Chapter

## Abstract

Sometimes an approximation is more valuable than an exact answer. For example, consider the following question: A certain association has 4000 members; 2000 of them are men and 2000 are women. Exactly half the members will be randomly chosen to each receive one ticket to a special event; all members have the same chance of getting a ticket. What is the probability that exactly 1000 men and exactly 1000 women get tickets? The answer to the question is quite obviously

$$
\frac{{{{\left( {\begin{array}{*{20}{c}}
{2000} \\
{1000}
\end{array}} \right)}^2}}}{{\left( {\begin{array}{*{20}{c}}
{4000} \\
{2000}
\end{array}} \right)}} $$

### Keywords

Fermat Cote## Preview

Unable to display preview. Download preview PDF.

## Copyright information

© Springer Science+Business Media New York 1997