1. 19. Probability.
a. SERRA

2. 19A. Experimental probability.
Class work:
Why study probability? Case study: life insurance.
Experimental probability: trials, outcomes, frequency, relative frequency = experimental probability. Fathom/ real experiment.
Individual work:
Example 1: Do it & check your answers.
Exercise 19A: 1,3
Probability investigation (drawing pins, coins, dice, paper clips…) you choose. 1/2/3 Pages
Extra: do a second/third investigation.

3. 19B. Sample Space. Class work: The settlers of Catan game.
Experimental probability Fathom experiment 2 dice.
Representing sample spaces: listing outcomes, 2D Grids, Tree diagrams.
Example Exercise 19B: 1a, 2a, 3a
Individual work:
Examples 1,2,3 : Do them & check your answers.
Exercise 19B: 1b, 2b, 3b
Extra c’s and d’s

4. 19C. Theoretical probability.
Class work:
Do we need to experiment when equally likely possible results?
P(E) = Number (E) / Total number of possible outcomes.
P(E) + P(E’) = 1
Individual work:
Examples 4 and 5: Do them & check your answers.
Exercise 19C: 1,5,9
Extra: Even numbers
Time for investigations? Online portfolio?

5. 19D & E. Using grids to find probabilities. Compound events.
Class work:
Case study tossing a coin and a die. Finding P(H&odd)
Finding formula P(A and B) for two independent events A and B, using grids. Dependent events (e.g. balls from a box).
Individual work:
Examples 6, 7 and 8: Do them & check your answers.
Exercise 19D: 3
Exercise 19 E1: 3,5
Exercise 19 E2: 1,3
Extra: Even numbers

6. 19F&G. Using tree diagrams. Sampling with and without replacement.
Class work:
Our case study: tossing a coin and a die. Finding P(H&odd). And balls from a bag.
Individual work:
Examples 11, 12 and 13: Do them & check your answers.
Exercise 19F: 1 and 3.
Exercise 19G: 1 and 9
Extra: Even numbers

7. 19H. Pascal’s triangle revisited.
Class work:
Review: Newton’s (a+b)^n and Pascal’s Triangle.
Use in probability (H + T ) ^ n
Using TI to calculate elements in Pascal’s Triangle.
Example. Exercise 19H5. Page 493.
Individual work:
Exercise 19H: 1 (part of it done in class), 3 and 7
Extra: Even numbers
Video: Exercise 19H5. Page 493.

8. 19I. Sets and Venn diagrams.
Class work:
Review: Sample space, union, intersection, complementary, disjoint sets.
Individual work:
Examples : Do them & check your answers.
Exercise 19I: 3,9,11
Extra: Even numbers
Remember 3rd investigation!!!!!

9. 19J. Laws of probability. Class work:
From previous section observe: P(A or B) = P(A) + P (B) – P (A and B)
P (A/B)= P(Aand B)/P (B)
Individual work:
Examples 21-25: Do them & check your answers.
Exercise 19J: 3,5 and 9 (happy idea) or 11 (organized) .
Extra: Even numbers

10. 19K. Independent events revisited.
Class work:
From previous section remember: P(A and B) = P(A) P (B) iff independent. Thus P(A/B)= P(A)
Individual work:
Examples 26 and 27: Do them & check your answers.
Exercise 19K: 1,3,5
Extra: Even numbers

11. Review unit 19
INDIVIDUAL WORKHOMEWORK Review Set 19A. (Do, correct your answers and write down score (total and percentage “%”) Mock test: Same Extra: Create an online quiz using Google forms and share it with the group. Please make sure your answers are correct. A positive in homework and/or in professionalism can be awarded if you do this task! Next> Test