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Unit 20 Probability of Two or More Events Presentation 1A Coin and a Dice Presentation 2Two Dice Presentation 3Tree Diagrams for Two Dice Presentation 4Tree Diagrams for Coloured Balls Presentation 5Misconceptions

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Unit 20 Probability of Two or More Events A Coin and a Dice

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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 DICE COIN 12 3 4 56 H T H1H2H3H4H5H6 T1 T2T3T4T5T6 12 2 6 6

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Unit 20 Probability of Two or More Events You have finished viewing: A Coin and a Dice Return to front slide Presentation 1A Coin and a Dice Presentation 2Two Dice Presentation 3Tree Diagrams for Two Dice Presentation 4Tree Diagrams for Coloured Balls Presentation 5Misconceptions

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Unit 20 Probability of Two or More Events Two Dice

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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 DICE B DICE A 12 3 4 56 1 2 234567 3 45678 456789 5 678910 6789 11 7 89101112 3 4 5 6 36 4 5 1

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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 DICE B DICE A 12 3 4 56 1 2 234567 3 45678 456789 5 678910 6789 11 7 89101112 3 4 5 6

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Unit 20 Probability of Two or More Events You have finished viewing: Two Dice Return to front slide Presentation 1A Coin and a Dice Presentation 2Two Dice Presentation 3Tree Diagrams for Two Dice Presentation 4Tree Diagrams for Coloured Balls Presentation 5Misconceptions

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Unit 20 Probability of Two or More Events Tree Diagrams for Two Dice

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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 OUTCOMESPROBABILITIES Six, Six Six, Not Six Not Six, Six Not Six, Not Six Six Not Six

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a)p (2 sixes)= b)p (1 six)= c)p (no sixes)= Six Not Six OUTCOMESPROBABILITIES Six, Six Six, Not Six Not Six, Six Not Six, Not Six Six Not Six + =

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Unit 20 Probability of Two or More Events You have finished viewing: Tree Diagrams for Two Dice Return to front slide Presentation 1A Coin and a Dice Presentation 2Two Dice Presentation 3Tree Diagrams for Two Dice Presentation 4Tree Diagrams for Coloured Balls Presentation 5Misconceptions

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Unit 20 Probability of Two or More Events Tree Diagrams for Coloured Balls

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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 OUTCOMESPROBABILITIES Y, Y Y, G G, Y G, G Y Y G G

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Determine: a)p (2 yellow balls)= b)p (2 green balls)= c)p (1 green and 1 yellow)= Y G OUTCOMESPROBABILITIES Y, Y Y, G G, Y G, G Y Y G G + =

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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 OUTCOMESPROBABILITIES Y, Y Y, G G, Y G, G Y Y G G

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Determine: a)p (2 yellow balls)= b)p (2 green balls)= c)p (1 green and 1 yellow)= Y G OUTCOMESPROBABILITIES Y, Y Y, G G, Y G, G Y Y G G + =

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Unit 20 Probability of Two or More Events You have finished viewing: Tree Diagrams for Coloured Balls Return to front slide Presentation 1A Coin and a Dice Presentation 2Two Dice Presentation 3Tree Diagrams for Two Dice Presentation 4Tree Diagrams for Coloured Balls Presentation 5Misconceptions

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Unit 20 Probability of Two or More Events Miconceptions

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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 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

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Unit 20 Probability of Two or More Events You have finished viewing: Misconceptions Return to front slide Presentation 1A Coin and a Dice Presentation 2Two Dice Presentation 3Tree Diagrams for Two Dice Presentation 4Tree Diagrams for Coloured Balls Presentation 5Misconceptions

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