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: 1,3Probability investigation (drawing pins, coins, dice, paper clips…) you choose. 1/2/3 PagesExtra: 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, 3aIndividual work:Examples 1,2,3 : Do them & check your answers.Exercise 19B: 1b, 2b, 3bExtra 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’) = 1Individual work:Examples 4 and 5: Do them & check your answers.Exercise 19C: 1,5,9Extra: Even numbersTime 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: 3Exercise 19 E1: 3,5Exercise 19 E2: 1,3Extra: 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 9Extra: 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 ) ^ nUsing 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 7Extra: Even numbersVideo: 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: 3,9,11Extra: Even numbersRemember 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: 1,3,5Extra: Even numbers
11 Review unit 19INDIVIDUAL WORKHOMEWORK 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