Finn and John are going to have a movie night this weekend.  Together, they have 33 movies.  If they decide to randomly choose two movies, what is the probability that the two they choose will consist of each of their favorite movies?  Assume they have different favorites.  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Camila sets up a passcode on her smart phone, which allows only five-digit codes.  She has heard that it's more secure if a digit is repeated in the passcode.  A spy sneaks a look at Camila's smart phone and sees her fingerprints on the screen over four numbers.  What is the probability the spy is able to unlock the smart phone on his first try?  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

The following table lists the ages and number of players per age group that are on a soccer team.  Let A = {soccer players who are older than 10 years old}.  How many players are in the complement of A?

Find the probability of choosing a letter other than the letter I from a bag that contains the sixteen letters of the name GOTTFRIED LEIBNIZ.  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Using the table containing the breakdown of all employees on nonfarm payrolls in the United States during March 2014, find the probability that a randomly selected U.S. worker was not in either Transportation and Warehousing or Wholesale Trade.

Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Three cards are drawn with replacement from a standard deck of 52 cards.  Find the the probability that the first card will be a club, the second card will be a black card, and the third card will be a ten.  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Mrs. Fraga's physics class has 104 students, classified by academic year and gender, as illustrated in the following table.  Mrs. Fraga randomly chooses one student to collect yesterday's work.  What is the probability that she selects a female, given that she chooses randomly from only the freshmen?   Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.        

A single letter from the word COMMITTEE is chosen.  What is the probability of choosing a T or an E?  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Use the following table to find the probability that a randomly chosen member of the Student Government Board is a junior or lives in off-campus housing.  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Two dice are rolled.  What is the probability that the sum of the numbers rolled is either 5 or 8?  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

A bag of 11 marbles contains 4 marbles with red on them, 5 with blue on them, 6 with green on them, and 3 with red and green on them.  What is the probability that a randomly chosen marble has either green or red on it?  Note that these events are not mutually exclusive.  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

A swim team consists of 5 boys and 6 girls.  A relay team of 4 swimmers is chosen at random from the team members.  What is the probability that there are 3 boys on the relay team given that there is 1 girl on the relay team?  Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

What is the probability that a randomly selected student from this poll would be a female who has decided not to vote in the upcoming election? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.