# Between January 2000 and August 2013, there were 667 arrests of National Football League (NFL) players as

## Question:

Between January 2000 and August 2013, there were 667 arrests of National Football League (NFL) players as reported by Union-Tribune News of San Diego. The table below presents the actual number of arrests of NFL players from January 2010 to December 2012. For this exercise, we will limit the total number of NFL players to 1,696. In addition, we will assume that no player was arrested more than once over the three-year period.

Randomly select players as instructed and calculate probabilities using the data in the table. Round answers to two decimal places unless otherwise instructed.

a. If you randomly select a 2010 linebacker, what is the probability that the linebacker had been arrested?

b. If you randomly select three NFL players from the combined pools of cornerbacks and defensive ends, how likely is it that two will be cornerbacks?

c. Let's say that you choose two players at random from all players arrested in 2011. What are the chances that both players will be cornerbacks?

d. If you randomly select two 2010 linebackers, what is the probability that both had been arrested? What is the probability of this same outcome for 2011? What is the probability of this same outcome for 2012?

e. If you randomly select two players from the combined pool of all cornerbacks, defensive ends, and linebackers arrested during the three-year period, what is the probability that your first selection is a linebacker arrested in 2010 and your second selection is a defensive end arrested in 2011? Round the answer to three decimal places.

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