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a) tossing heads on the coin b) getting tails and a 5 c) getting tails or a 5

Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad , Glen Whiffen , John Owen, Robert Haese , Sandra Haese and Mark Bruce Haese and Haese Publications, 2004. Section 14F – Using Grids to Find Probabilities.

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a) tossing heads on the coin b) getting tails and a 5 c) getting tails or a 5

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  1. Material Taken From:Mathematicsfor the international student Mathematical Studies SLMal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark BruceHaese and Haese Publications, 2004

  2. Section 14F – Using Grids to Find Probabilities Example 1)Use a 2D grid to illustrate the sample space for tossing a coin and rolling a die simultaneously.Find the probability of: a) tossing heads on the coinb) getting tails and a 5c) getting tails or a 5

  3. Example 2) Two square spinners, each with 1, 2, 3, and 4 on their edges, are twirled simultaneously. Draw a 2D grid of the possible outcomes. Find the probability of: a) getting a 3 with each spinnerb) getting a 3 and a 1c) getting an even result for each spinner

  4. Example 3)Draw a table of outcomes to display the possible results when two dice are rolled and the scores are summed.Determine the probability that the sum of the dice is 7.

  5. Section 14G – Compound Events • www.BrainPop.com • Independent and Dependent Events • Explorelearning.com • Compound Independent Events

  6. Investigation 5 (pg 469)

  7. Independent Events • Events where the occurrence of one of the events ______ _____ affect the occurrence of the other event. does not P(A and B) = P(A) × P(B) “and” → multiplication P(A and B and C) = P(A) × P(B) × P(C)

  8. Example 4)A coin and a die are tossed simultaneously. Determine the probability of getting heads and a 3.

  9. Example 5)There are 9 brown boxes and 6 red boxes on a shelf. Anna chooses a box and replaces it. Brian does the same thing. What is the probability that Anna and Brian choose a brown box?

  10. There are 9brown boxes and 6red boxes on a shelf. What if Anna choose the box and DID NOT replace it? Then Brian’s event of choosing a box becomes dependent. If Anna chooses red, P(Brian chooses brown) = P(Brian chooses brown) = If Anna chooses brown, P(Anna then Brian choose brown)

  11. Dependent Events • Events where the occurrence of one of the events ______ affect the occurrence of the other event. does P(A then B) = P(A) × P(Bgiven that A has occurred)

  12. Example 6)A box contains 4 red and 2 yellow tickets. Two tickets are randomly selected one by one from the box, without replacement. Find the probability that: (a) both are red (b) the first is red and the second is yellow.

  13. Example 7)A hat contains tickets with numbers 1, 2, 3, … , 19, 20 printed on them. If 3 tickets are draw from the hat, withoutreplacement, determine the probability that all are prime numbers.

  14. Homework • Page 468 - 14F #1, 3 • Page 471 - 14G.1 #1, 3, 4 • Page 473 - 14G.2 #2, 3

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