1. 13.6 Theoretical/Experimental Probability
Objective: Students will learn how to find simple probability. They will also learn the difference between theoretical and experimental probability.

2. Info.
Outcomes: possible results Random: outcome equally likely Probability: favorable total outcomes
Theoretical Prob: what should happen Experimental Prob: what actually happens; repeated trials. Odds in favor: favorable unfavorable Odds against: unfavorable favorable

3. I have a cube find the probability of the following. P(1) P(2 or odd)
Probability problems
I have a cube find the probability of the following. P(1) P(2 or odd)
Deck of cards. P(jack) P(2 or 5) P(clubs)

4. P(2) P(2 or red) P(green or blue) P(even) P(#>5) P(#<3)
Probability problems
P(2) P(2 or red) P(green or blue) P(even) P(#>5) P(#<3) 8 1 7 2 6 3 5 4

5. Experimental Probability then compare to theoretical
outcome
frequency 1 2 3 4 5 6

6. Experimental Probability then compare to theoretical
outcome
frequency 1 2 3 4 5 6

7. Predict
Predict how many like fish from Predict how many like dogs from 600. Predict how many like cats/dogs (300). Predict how many likes hamsters (300). Predict how many like birds/fish 300.
Fish 5%
Birds
12%
Hamsters13%
Dogs 50%
Cats20%

8. Factorial: product of integers from n to 1
Information
Factorial: product of integers from n to 1
0! = 1
Evaluate the factorial. 2! 3!

9. Evaluate the factorials5! 7! 8! 3! 6! 4!
10! 0!

10. Notes
Tree Diagram: uses branching to list choices. Counting Principle: repeated multiplication

11. Shirts: red, white Pants: jeans, shorts Feet: socks, shoes
Use the tree diagram
Shirts: red, white Pants: jeans, shorts Feet: socks, shoes
Draw a pictures with three sizes (sm, med, lg), with four different shapes (square, rectangle, triangle, circle).

12. Glasses: plastic and metal Frames: rectangular, oval, round.
Use the tree diagram
Glasses: plastic and metal Frames: rectangular, oval, round.
Colors: red, yellow, black Frames: plastic, wood Shape: circular, square

13. Use counting principle
3 shirts, 5 pants, 2 shoes, 10 hats Month picked and a coin flipped.
Coin, dice, cards (52) Letter picked and a single digit picked

14. Use counting principle
5 shirts, 20 pants, 3 shoes, 10 hats
Coin, dice, letter(26)

15. Spinner has 10 equal spaces. Probability you land on a 2 then on a 10?
4 character password: 1st – digit, 2nd – letter, 3rd – digit not 2, 4th letter. Prob. Get first try?
Spinner has 10 equal spaces. Probability you land on a 2 then on a 10?

16. Probability
3 types bread: wheat, rye, white. 2 types meat: turkey, ham 3 types cheese: american, pepperjack, provolone. What’s prob. I get a wheat, turkey, pepperjack sandwich.
3 character password: 1st – digit not 7 or 3, 2nd – letter, 3rd – digit not 2, 5, 9

17. Question / comments Hw: workbook pg. 189
Wrap up
Question / comments Hw: workbook pg. 189