1 / 9

Probability Understanding: Fair Games & Complements

Learn about uniform probability models, fair games, and complements in card games. Understand the likelihood of outcomes and the concept of fairness. Test your understanding with engaging examples.

mahon
Download Presentation

Probability Understanding: Fair Games & Complements

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 11/7/16 Entry 173 – Objective I will review and continue developing my understanding of uniform probability models, including the complement of an event.

  2. Entry 174 – Probability Games • Have you ever played a game where everyone should have an equal chance of winning, but one person seems to have all luck? If there is an equal chance for each player to win a game, it is considered to be a fair game. If is not equally likely for each player to win, a game is considered to be unfair.

  3. Entry 175– Pick a Card • 5-23 What is the probability of picking the following card from the deck? • a. P(black)? • b. P(club)? • c. If you drew a card from the deck and replaced it, and if you repeated this 100 times, about how many times would you expect to draw a face card ( king, queen, or jack)? • * There are 52 cards in a standard deck • There are four different suits: Diamonds, Clubs, Hearts, and Spades. There are thirteen cards, Ace - Two - Three… Ten - Jack - Queen - King in each suit

  4. #175 Answer • a. 26/52 = ½. 50% or 0.5 • b. 13/52 = ¼. 25% or 0.25 • c. There are 12/52 face cards, and 100 is just less than twice 52, so since 2x12=24, about 22 or 23 times.

  5. Entry 176 - Complement • 5-24 When finding the probability that something will not happen, you are finding the probability of the complement • What is the probability you do not get a club, written P (not club)? • What is P(not face card)?

  6. #176 Answer • 39/52 = ¾, 75% or 0.75 • 40/52 = 10/13, about 77%, or 0.769

  7. Entry 177 – Do it myself • Rob decided to play a card game with his friend, Travis. He told Travis that if he picked a black card with a value of nine or greater, Travis will win. ( Jack, queens, and kings are considered to be greater than nine) If Rob picked a red card with a value of less than nine, Rob would win.( Aces are considered to have the value of one in this case.) • What is the probability that Travis will win? • What is the probability that Rob will win? • According to the definition in the introduction to this lesson, is this a fair game? Why or why not?

  8. #177 Answer • a. 10/52 =5/26 =0.19 = 19% • b. 16/52 = 8/26 = 4/13 = 0.31 = 31% • c. NO. Rob has a better chance of winning.

  9. Entry 178 - Homework • 5-29 • 5-30 • 5-31

More Related