1 / 8

Probability and Simulation

Probability and Simulation. The Study of Randomness. Listing All Possible Outcomes of a Probabilistic Experiment. Enumeration Tree diagrams Additional methods – counting fundamentals. Three Children Example. Homework.

jamesjhenderson
Download Presentation

Probability and Simulation

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. Probability and Simulation • The Study of Randomness

  2. Listing All Possible Outcomes of a Probabilistic Experiment • Enumeration • Tree diagrams • Additional methods – counting fundamentals

  3. Three Children Example Homework • A couple wants to have exactly 3 children.  Assume that each child is either a boy or a girl and that each is a single birth.  • List all possible orderings for the 3 children.

  4. Enumeration S={BBB, GBB, BGB, BBG, GGB, GBG, BGG, GGG}

  5. B B B B B B B G G G G G G G Tree Diagrams 1st Child __ 2nd Child __ 3rd Child BBB BBG BGB BGG GBB GBG GGB GGG S={BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG}

  6. P(of getting 2 consecutive boys) P(of getting a boy then a girl) P(of getting all boys) P(of having a girl as a third child) P(of having exactly 2 girls) PRACTICE:Using the previous conditions, what is the probability of these events from happening? =3/8 =4/8 or 1/2 =1/8 =4/8 or 1/2 =3/8

  7. Warm-up A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a red marble? a green marble? a blue marble? a yellow marble? P[red] = .27 P[green] = .23 P[blue] = .36 P[yellow] = .14

  8. P(rain) = 25% P’(rain) = 75% Compliment of a probability The chances of raining today is 25%. What is the probability that it’s NOT going to rain today?

More Related