Name:______Period:______

Unit 1: Outcomes and Likelihoods

Study Guide

I. PROBABILITY:

  1. Probability is ______
  2. Probability has a range ____ - ____ ( ____% - ____%)
  3. And means to ______while or means to ______
  4. If the problem says “replaced” then the denominator stays the same or reduces by 1?
  5. The probability of 0 (0%) means______
  6. The probability of 1 (100%) means______
  7. How many possible outcomes are there for …
  8. rolling a 6-sided number cube and tossing a coin?______
  9. Spinning a spinner with 5 sections and rolling a 6-sided number cube?______
  10. If you have 4 shirts, 3 pants, and 2 pair of shoes, how many different outfits can you have?
  1. In a bowl, there are 6 purple marbles, 7 black marbles, and 2 white marbles.
  2. What is the P(purple or white) if the first marble is selected and then replaced?
  1. What is the P(black, then pink)?
  1. What is the P(black, then black) if the first marble is selected and NOT replaced?
  1. License plates in a certain state contain 4 letters followed by 3 digits. Assume that all combinations are equally likely (letters and numbers can repeat). Show how you would calculate the number of possible license plates.
  1. If A and B are independent events such that P(A)= and P(B)=, what is the P(A and B)?
  1. Ms. Ellison has 23 students in her biology class. Seventeen students are boys, and of them, 8have a C in the class, 15 have a B in the class. Ms. Ellison wants to choose a student at random to present at the science fair. What is P(girl or has a B)?
  1. Harrison High School requires all students to have a 4-character computer password that contains 2 letters followed by 2 numbers. Find the number of possible passwords.
  1. In Georgia, 3/5 of all students have a phone, and 1/3 of all students have an iPod. If a student is picked at random, what is P(phone and an iPod)?
  1. There are 52 cards in a deck. What is the probability of drawing seven, replacing it, and then drawing a queen? (Hint: There are 4 different suits with 13 cards each: 2-10, jack, queen, king, ace.)
  1. The eighth grade graduation party is being catered. The caterers offer 5 appetizers, 4 salads, and 2 main courses for each eighth grade student to choose for dinner. If the caterers would like 80 different combinations of dinners, how many desserts should they offer?
  1. There are 52 cards in a deck. What is the probability of drawing an eight or a spade? (Hint: There are 4 different suits with 13 cards each: 2-10, jack, queen, king, ace.)

II. SET THEORY:

Write the definition for:

  1. Union
  1. Intersection
  1. Complement
  1. Set
  1. Element
  1. Universal Set
  1. Set A = {3, 6, 9, 12, 15} Set B = {2, 4, 6, 8, 10, 12}

Illustrate with a Venn Diagram:

A B CA B C

A’(A B)’

  1. Universal Set is {teal, pink, orange, blue, yellow} Set A = {red, orange, yellow, green, blue}

Find the following sets:

  1. A B =
  1. A B =
  1. A’ =
  1. B’ =
  1. Set A = {C, H, A, M, P, Z, O, E} Set B = {B, R, Y, A, N}

Find the following sets:

  1. A B =
  1. A B =
  1. A’ =
  1. B’ =