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Math unit20 probability of one or more events

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Probability of one or more events

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Math unit20 probability of one or more events

  1. 1. Unit 20 Probability of Two or More Events Presentation 1 A Coin and a Dice Presentation 2 Two Dice Presentation 3 Tree Diagrams for Two Dice Presentation 4 Tree Diagrams for Coloured Balls Presentation 5 Misconceptions
  2. 2. Unit 20 Probability of Two or More Events A Coin and a Dice
  3. 3. A fair dice is rolled and an unbiased coin is tossed at the same time. Complete the following table to show the possible outcomes: How many outcomes are there: a) in total b) that include a 6 c) that include a head d) that include an even number 1 2 3 4 5 6 H T H1 H2 H3 H4 H5 H6 T1 T2 T3 T4 T5 T6 12 2 6 6
  4. 4. Unit 20 Probability of Two or More Events You have finished viewing: A Coin and a Dice Return to front slide Presentation 1 A Coin and a Dice Presentation 2 Two Dice Presentation 3 Tree Diagrams for Two Dice Presentation 4 Tree Diagrams for Coloured Balls Presentation 5 Misconceptions
  5. 5. Unit 20 Probability of Two or More Events Two Dice
  6. 6. Complete the following table to show the possible outcomes when the two dice are thrown at the same time and their scores added: How many outcomes are there: a) in total b) that give a score of 9 c) that give a score of 6 d) that give a score of 12 1 2 3 4 5 6 1 2 2 3 4 5 6 7 3 4 5 6 7 8 4 5 6 7 8 9 5 6 7 8 9 10 6 7 8 9 10 11 7 8 9 10 11 12 3 4 5 6 36 4 5 1
  7. 7. The table shows the possible outcomes when two fair dice are thrown and their scores added What is the probability of getting a score: a) of 9 b) of 10 c) less than 6 d) more than 9 1 2 3 4 5 6 1 2 2 3 4 5 6 7 3 4 5 6 7 8 4 5 6 7 8 9 5 6 7 8 9 10 6 7 8 9 10 11 7 8 9 10 11 12 3 4 5 6
  8. 8. Unit 20 Probability of Two or More Events You have finished viewing: Two Dice Return to front slide Presentation 1 A Coin and a Dice Presentation 2 Two Dice Presentation 3 Tree Diagrams for Two Dice Presentation 4 Tree Diagrams for Coloured Balls Presentation 5 Misconceptions
  9. 9. Unit 20 Probability of Two or More Events Tree Diagrams for Two Dice
  10. 10. Complete the tree diagram and use it to determine the probability of getting: a)2 sixes, b) 1 six, c) no sixes, when you roll two fair dice Six Not Six OUTCOMES PROBABILITIES Six, SixSix, Six Six, Not SixSix, Not Six Not Six, SixNot Six, Six Not Six, Not SixNot Six, Not Six Six Six Not Six Not Six
  11. 11. a)p (2 sixes) = b)p (1 six) = c)p (no sixes) = Six Not Six OUTCOMES PROBABILITIES Six, SixSix, Six Six, Not SixSix, Not Six Not Six, SixNot Six, Six Not Six, Not SixNot Six, Not Six Six Six Not Six Not Six + =
  12. 12. Unit 20 Probability of Two or More Events You have finished viewing: Tree Diagrams for Two Dice Return to front slide Presentation 1 A Coin and a Dice Presentation 2 Two Dice Presentation 3 Tree Diagrams for Two Dice Presentation 4 Tree Diagrams for Coloured Balls Presentation 5 Misconceptions
  13. 13. Unit 20 Probability of Two or More Events Tree Diagrams for Coloured Balls
  14. 14. There are 5 yellow balls (Y) and 4 green balls (G) in a container. One ball is taken out at random then put back. A second ball is then taken out at random. Complete the tree diagram: Y G OUTCOMES PROBABILITIES Y, YY, Y Y, GY, G G, YG, Y G, GG, G Y Y G G
  15. 15. Determine: a)p (2 yellow balls) = b)p (2 green balls) = c)p (1 green and 1 yellow) = Y G OUTCOMES PROBABILITIES Y, YY, Y Y, GY, G G, YG, Y G, GG, G Y Y G G + =
  16. 16. There are 5 yellow balls (Y) and 4 green balls (G) in a container. One ball is taken out at random but NOT put back in. A second ball is then taken out at random. Complete the tree diagram: Y G OUTCOMES PROBABILITIES Y, YY, Y Y, GY, G G, YG, Y G, GG, G Y Y G G
  17. 17. Determine: a)p (2 yellow balls) = b)p (2 green balls) = c)p (1 green and 1 yellow) = Y G OUTCOMES PROBABILITIES Y, YY, Y Y, GY, G G, YG, Y G, GG, G Y Y G G + =
  18. 18. Unit 20 Probability of Two or More Events You have finished viewing: Tree Diagrams for Coloured Balls Return to front slide Presentation 1 A Coin and a Dice Presentation 2 Two Dice Presentation 3 Tree Diagrams for Two Dice Presentation 4 Tree Diagrams for Coloured Balls Presentation 5 Misconceptions
  19. 19. Unit 20 Probability of Two or More Events Miconceptions
  20. 20. Each of the following is a misconception (incorrect statement). Explain why. Misconception 1 When two fair dice are rolled and the numbers thrown are added, the probability of getting a total of 6 is because there are 11 different possible outcomes. Misconception 1 When two fair dice are rolled and the numbers thrown are added, the probability of getting a total of 6 is because there are 11 different possible outcomes. Misconception 2 If six fair dice are thrown at the same time, you are less likely to obtain: 1, 1, 1, 1, 1, 1 than 1, 2, 3, 4, 5, 6 Misconception 2 If six fair dice are thrown at the same time, you are less likely to obtain: 1, 1, 1, 1, 1, 1 than 1, 2, 3, 4, 5, 6 Misconception 3 If you choose 1 ball from each box, you are more likely t obtain a black ball from box A than from box B, because there are more black balls in box A. Box A Box B Misconception 4 You spin two unbiased coins. The probability of getting a HEAD and a TAILS is because you can get: •2 HEADS •1 HEAD and 1 TAIL •2 TAILS
  21. 21. Unit 20 Probability of Two or More Events You have finished viewing: Misconceptions Return to front slide Presentation 1 A Coin and a Dice Presentation 2 Two Dice Presentation 3 Tree Diagrams for Two Dice Presentation 4 Tree Diagrams for Coloured Balls Presentation 5 Misconceptions

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