  ### Home > MC2 > Chapter 5 > Lesson 5.1.1 > Problem5-11

5-11.

The Aloha Stadium in Honolulu, Hawaii, has seats for $50{,}000$ people. At an upcoming football game, a company is planning to give away free hats to people based on where they are sitting.

1. The seats are divided into $40$ different sections. If hats are given in only $5$ sections, what is the probability of a guest sitting in a section that gets a hat?

How many total sections are there and how many sections will be given hats?

2. The company is going to choose three rows in each section to win the hats. There are 46 rows in a section. If you are sitting in a winning section, what is the probability that you are not sitting in a winning row?

How many total rows are there and how many sections will not be picked to win hats?

$\frac{43}{46}$

3. The company plans to give away $750$ hats. If you buy a ticket to the game, what is the probability you will receive a hat?

How many hats are being given away and how many total people are at the game who could receive these hats?

$\frac{750}{50000} \text{ or } \frac{3}{200}$