Suppose a team at Facebook decides to develop an algorithm to predict which of its users are likely to be involved in terrorism against the United States. The algorithm produces a list of people about whom Facebook can say that with some confidence that people drawn from this group are about twice as likely as the typical Facebook user to be terrorists or terrorism supporters.

Suppose, there are 200 million Facebook users in the U.S. and 100,000 of those users will be on the list. Suppose, in total there are 10,000 future terrorists.

Suppose a team at Facebook decides to develop an algorithm to predict which of its users are likely to be involved in terrorism against the United States. The algorithm produces a list of people about whom Facebook can say that with some confidence that people drawn from this group are about twice as likely as the typical Facebook user to be terrorists or terrorism supporters.

Suppose, there are 200 million Facebook users in the U.S. and 100,000 of those users will be on the list. Suppose, in total there are 10,000 future terrorists.

On FB list (L) Not on FB list (NL)

Terrorist (T) 10 ?

Not terrorist (NT) 99,990 199,890,010

a)What is the number of people who are future terrorist and not on the FB list? Show your work. (0.5 points)

b)What is the chance that a person gets put on Facebook's list, given that they are not a terrorist? Show your work. (1 point)

c)What is the chance that a person's not a terrorist, given that they are on Facebook's list? Show your work. (1 point)

When you compare your answers to parts b & c, do you find it puzzling? Why or why not? Explain. (0.5 points)

9,890,010

a)What is the number of people who are future terrorist and not on the FB list? Show your work. (0.5 points)

b)What is the chance that a person gets put on Facebook's list, given that they are not a terrorist? Show your work. (1 point)

c)What is the chance that a person's not a terrorist, given that they are on Facebook's list? Show your work. (1 point)

When you compare your answers to parts b & c, do you find it puzzling? Why or why not? Explain. (0.5 points)