# Fan Appreciation Night, Part 3

### Resources for this lesson:

Key Terms

Two-way tables

In the last lesson, you learned how to calculate probabilities for mutually exclusive and mutually inclusive events.  Now, you will apply your understanding of probability to analyze and calculate probabilities based on two-way tables.

Let’s revisit the fan appreciation night from the last two lessons:

Allyson has invited her friends to a minor league baseball game.  Andrew, Justyce, Khalid and his cousin Marissa are able to go to the game.  The friends have learned that this Friday is Fan Appreciation Night.  This month for Fan Appreciation Night, fans can win free tickets to an upcoming game.

When each fan enters the ballpark, he/she will be given a raffle ticket.  Each fan is to write their name and seat number on the stub of the raffle ticket and place the stub in a large container.  The owners plan to determine the winners of the free baseball tickets by drawing 100 raffle ticket stubs from the large container.  The names and the seat numbers of the winning fans will be displayed on the jumbotron screen.  Five thousand fans are in attendance.

During the 7th inning stretch, the names and the seat numbers of the winning fans are displayed on the jumbotron screen. A summary of where the winning fans are seated is shown below.

Seating Sections

Number of Ticket Winners

Number of People Who Did Not Win

Total

100-Level Seats

60

2240

2300

200-Level Seats

20

1080

1100

18

1532

1550

Skyboxes

2

48

50

Total

100

4900

5000

Justyce: Wow, looks like there were more people in the 100-level seats who won.

Marissa: Yeah, but they also had the most people. I don’t think they had a greater chance of winning.

Let’s see if Marissa is right.