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19. Probability.

19. Probability. a. SERRA. 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:

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19. Probability.

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  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 470-473. • 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

  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

  8. 19I. Sets and Venn diagrams. • Class work: • Review: Sample space, union, intersection, complementary, disjoint sets. • Individual work: • Examples 15 -20: Do them & check your answers. • Exercise 19I: 3,9,11 • Extra: Even numbers

  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

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