Exam 5: Introduction to Probability

ABC College is using a new screening test to test its employees for TB. The following table shows the results of a pilot study: What percentage of the individuals in the study were false negatives?

A _____ of items is an arrangement of the items in a certain order.

You draw five cards from a full deck without jokers. What is the probability that you have at least one face card (jack, queen, or king)?

You play a gambling game with a friend in which you win 25% of the time and lose 75% of the time. When you lose, you lose $1. What profit should you earn when you win, in order for the game to be fair?

Two experiments are _____ if knowing that one event occurs has no effect on the probability of the occurrence of the other.

If each outcome of an experiment is equally likely, the _____ of an event is a fraction of favorable outcomes.

The following table gives the results of a screening test for a disease: Estimate the specificity of the test.

A bag contains three red cubes, two blue cubes, four red balls, and three blue balls. When you draw a ball at random, what is the probability that the color is blue?

You roll a pair of dice. You bet $1 that you will get 2, 3, or 12. If you win, you are paid $9, for a profit of $8; if you lose, you lose your wager. This is a fair game.

You draw three cards from a full deck without jokers. What is the probability that they will all be face cards (jacks, queens, or kings)?

Susan bakes 10 chocolate chip and 10 peanut butter cookies. Will bakes 6 chocolate chip and 12 peanut butter cookies. The 38 cookies are put together and offered on a single plate. If you select a cookie from the plate at random, what is the probability that the cookie is peanut butter, given that Will baked it?

ABC College is using a new screening test to test its employees for TB. The following table shows the results of a pilot study: What percentage of the individuals in the study who had TB tested negative?

Suppose you pick a marble from a box containing five red and seven blue marbles. You record the color and put the marble back in the box. What is the probability of getting a red marble both times if you do this twice?

Suppose a coin is tossed three times and we count the total number of heads. How many possible outcomes are there?

We have a box with six green marbles, five blue marbles, and seven red marbles. We choose three marbles from the box at random without looking. What is the probability that they will all be blue?

The _____ is the belief that a string of losses in the past will be compensated by wins in the future.

Suppose you decide to open a casino offering only one game. You win a dollar 55% of the time, and your customer wins a dollar 45% of the time. How much profit would you expect to have if 7500 games are played?

You draw three cards from a full deck without jokers. What is the probability that they will all be clubs?

An economist estimates that casinos in California net $6 billion each year. Assume that overall the casinos take in 4.25% of the money wagered. How much money was bet in California last year?

You toss a coin three times. What is the probability of getting three heads?