Probability: Week of January 23rd


DUE DATE FOR PROJECT NOW WEDNESDAY, FEBRUARY 1, 2017

Monday: Bellwork

1-Define Probability

2-What events use probability to determine outcome

3-Give three examples of probability used in every day life

4-What occupations may use probability regularly








The following websites have some probability games you may want to use as practice at home.

http://www.free-training-tutorial.com/probability-games.html

http://mrnussbaum.com/probfair-play/

http://www.tvdsb.ca/webpages/cmacintosh/mathematics.cfm?subpage=193944


Tuesday:

Bell work- None today



Classwork-


Try these for homework-
http://worksheets.tutorvista.com/mutually-exclusive-events-worksheet.html

Wednesday:

Bellwork-

A jar contains 4 red marbles, 7 green marbles, and 5 yellow marbles. Two marbles are chosen from the jar, without replacement. What is the probability that both marbles chosen are green?




Class work-
Get with partners/groups to work on carnival games

Homework- Take this quiz
https://archive.geogebra.org/en/upload/files/MSP/LingPun/April_11_Project/Quiz_probability.htm

Thursday-

1- A bag contains 666 red balls, 444 green balls, and 333 blue balls.

If we choose a ball, then another ball without putting the first one back in the bag, what is the probability that the first ball will be green and the second will be red?

2- A dresser drawer contains one pair of socks with each of the following colors: blue, brown, red, white and black. Each pair is folded together in a matching set. You reach into the sock drawer and choose a pair of socks without looking. You replace this pair and then choose another pair of socks. What is the probability that you will choose the red pair of socks both times?


Homework- Complete worksheet/ Answers will be posted to check answers

Important Reminders-
You must have rules, a model or playable scale model of you project, how your game will profit and theoretical and experimental probabilities, along with visual representation of data collected and comparison.

Rules-
Rules should be very specific. (Sometimes using bullets helps to break it down)

Model-
You will not get extra credit for more expensive/time consuming games. I do not intend for you to spend money to create it.
Model should be attractive, neat and have a name.

Profit- How will you make money? This should be THOROUGHLY explained
1- If your game has a probability of winning of 50%- costs $1 to play- prize costs $10
If 100 people play- Make $100/ Spend $500 in prizes
2- If your game has probability of winning of 5/12(42%)- costs $1 to play- prize costs $1
If 100 people play- Make $100/ Spend $50 in prizes
3- If your game has a 40% probability of winning- costs 50c to play- prize costs 10c
If 100 people play- Make $50/ Spend $4 in prizes

Theoretical and Experimental Probabilities-
Theoretical- It should be clear as to how you came up with it. Give the underlying circumstances.
Experimental-
  • Use law of large numbers to help validity of your findings.

  • You should have a visual representation of your data collection- chart, table, etc.

Comparison- How does your theoretical probability compare to your experimental probability? Summary- Explain the outcome and give conclusions as to why you believe it turned out that way.


NEXT WEEK
Monday, 1/3/17- Project work day
* I will be available during lunch for questions and project work
Tuesday, 1/31/17- Probability Quiz
Wednesday,** 2/1/17- Carnival Game Day-
  • Bring in game(or model) and written requirements for project.
  • Probability Worksheet Due
Answers to Thursday's homework/study guide:
1. 1/2
2. 1/5
3. Unlikely 3/11
4. 0.25
5. 2:9
No thy are even
7. 0.236 or 26%
8. .256 or 26%
9. 2/13
10. 19%
11. 66:223
12. 3/35
13. Unlikely (1/18)
14. 0.12
15. 24%
16. 1/4
17. 425/2162
18. 25%
19. 32/663
20. 1/8
21. 1/8
22. 0.06
23. Unlikely (34%)
24. Unfavorable (4:51)