1 / 20

Monty Hall Problem

Monty Hall Problem. http://www.youtube.com/watch?v=P9WFKmLK0dc. Monty Hall Problem. http://www.youtube.com/watch?v=P9WFKmLK0dc Lesson: Can’t always trust your first guess?. Induction. Guess the next number in the following sequences. 1, 4, 7,… 1, 4, 9, 16,…. Induction.

cate
Download Presentation

Monty Hall Problem

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. Monty Hall Problem • http://www.youtube.com/watch?v=P9WFKmLK0dc

  2. Monty Hall Problem • http://www.youtube.com/watch?v=P9WFKmLK0dc • Lesson: Can’t always trust your first guess?

  3. Induction Guess the next number in the following sequences. • 1, 4, 7,… • 1, 4, 9, 16,…

  4. Induction • Inductive reasoning is the process of reaching a conclusion by examining specific examples.

  5. Pizza! Pizza! • What is the maximum number of pieces of pizza you can get from 1 cut? 2 cuts? 3 cuts? How about the 5th 6th 7th cuts?

  6. Consider the following expression. Is this true for every choice for x?

  7. True or not? If the product of two natural numbers is even, then both of the numbers are even numbers

  8. Balance Puzzle • The goal is determine the number value or weight of each shape. • The right and left sides of each horizontal beam must balance. • Each shape has a unique and consistent weight which is 1 or 2 digit whole number. • A piece hanging directly below the fulcrum does not affect the balance. • The size of a piece has no relation to its weight.

  9. Let us reason We used deductive reasoning to solve the Balance puzzle (Maybe?). Deductive reasoning is reaching a conclusion by applying general assumptions, procedures, or principles.

  10. Shoes size predicts your age this year! Write down your shoe size,Multiply it by 50,Add 50,Multiply your answer by 20,Add 1013 to it,Subtract the year you were born from it.Then the first 2 digit will be your shoe size and the last 2 digit will be your age.

  11. Logic Puzzle Each of four neighbors, Sean, Maria, Sarah and Brian, has a different job (editor, banker, chef, dentists). Determine the job of each neighbor • Maria gets home from work after the banker but before the dentist. • Sarah, who is the last to get home from work, is not the editor • The dentist and Sarah leave for work at the same time. • The banker lives next door to brian.

  12. Harder Logic Puzzle The People of Playland only tell the truth on Sunday, Tuesday, and Thursday. Which day of the week is it if the Playlander says “I told the truth yesterday”.

  13. 1.1 homework • 1-15 odd, 25-43 odd, 48.

  14. 1.2 Patterns Consider the sequence 5, 14, 27, 44, 65,…. 5 = 1st term = 14 = 2nd term = 27 = 3rd term = 44 = 4th term =

  15. sequences 2, 5, 8, 11, 14,… what’s the pattern? 5, 14, 27, 44, 65,… what’s the pattern? 4, 14, 30, 52, 80,….

  16. nth Formula Come up with the nth formula

  17. nth Formula • I still haven’t figured this one out!

  18. nth Formula Consider for

  19. Fibonacci • Vi Hart Fibonacci Numbers

  20. True or Not! (get to leave when finished!) • If is even, then is an odd number. • for • Homework 1.2 1-17 odd, 20, 25

More Related