1 / 0

Warm Up

Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad , Glen Whiffen , John Owen, Robert Haese , Sandra Haese and Mark Bruce Haese and Haese Publications, 2004. Warm Up.

mirra
Download Presentation

Warm Up

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. Material Taken From:Mathematicsfor the international student Mathematical Studies SLMal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark BruceHaese and Haese Publications, 2004
  2. Warm Up In a group of 108 people in an art gallery 60 liked the pictures, 53 liked the sculpture and 10 liked neither. What is the probability that a person chosen at random liked the pictures but not the sculpture?
  3. Section 14K – Laws of Probability BrainPop Video Compound Events Today: Sometimes events can happen at the same time. Sometimes you will be finding the probability of event A or event B happening. Sometimes you will be finding the probability of event A and event B happening.
  4. Laws of Probability
  5. Mutually Exclusive Events A bag of candy contains 12 red candies and 8 yellow candies. Can you select one candy that is both red and yellow?
  6. Laws of Probability
  7. Mutually Exclusive Events P(either A or B) = P(A) + P(B)
  8. Example 1)Of the 31 people on a bus tour, 7 were born in Scotland and 5 were born in Wales. Are these events mutually exclusive? If a person is chosen at random, find the probability that he or she was born in: Scotland Wales Scotland or Wales
  9. Laws of Probability
  10. Combined Events P(either A or B) = P(A) + P(B) – P(A and B)
  11. Example 2)100 people were surveyed: 72 people have had a beach holiday 16 have had a skiing holiday 12 have had both What is the probability that a person chosen has had a beach holiday or a ski holiday?
  12. Example 3)If P(A) = 0.6 and P(A  B) = 0.7 andP(A  B) = 0.3, find P(B).
  13. Conditional ProbabilityTen children played two tennis matches each. What is the probability that a child won his first match, if it is known that he won his second match?
  14. Laws of Probability
  15. Example 4) In a class of 25 students, 14 like pizza and 16 like iced coffee. One student likes neither and 6 students like both. One student is randomly selected from the class. What is the probability that the student: likes pizza likes pizza given that he/she likes iced coffee?
  16. Example 5) In a class of 40, 34 like bananas, 22 like pineapples and 2 dislike both fruits. If a student is randomly selected find the probability that the student: Likes both fruits Likes bananas given that he/she likes pineapples Dislikes pineapples given that he/she likes bananas
  17. Example 6)The top shelf of a cupboard contains 3 cans of pumpkin soup and 2 cans of chicken soup. The bottom self contains 4 cans of pumpkin soup and 1 can of chicken soup. Lukas is twice as likely to take a can from the bottom shelf as he is from the top shelf . If he takes one can without looking at the label, determine the probability that it: is chicken was taken from the top shelf given that it is chicken
  18. Section 14L – Independent Events Independent Events If one student in the class was born on June 1st can another student also be born on June 1st? If you roll a die and get a 6, can you flip a coin and get tails?
  19. Laws of Probability
  20. Example 7) P (A) = ½ P (B) = 1/3 and P(A  B) = p Find p if: A and B are mutually exclusive A and B are independent
  21. Homework Worksheet: 16I.1 #1-4 all 16I.2 #1, 3, 5, 6, 7 16J
More Related