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Probability Tree Diagrams. Tree diagrams- one event followed by a second event one dice followed by a second dice one coin followed by a second coin one.

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Presentation on theme: "Probability Tree Diagrams. Tree diagrams- one event followed by a second event one dice followed by a second dice one coin followed by a second coin one."— Presentation transcript:

1 Probability Tree Diagrams

2 Tree diagrams- one event followed by a second event one dice followed by a second dice one coin followed by a second coin one day followed by another day one pick from a bag followed by a second pick

3 Two coins

4 First coinSecond coin H H H T T T

5 First coinSecond coin H H H T T T PROBABILITIES

6 First coinSecond coin H H H T T T

7 PROBABILITIES Probability of one of each=

8 Two Dice

9 First diceSecond dice Six Not six

10 PROBABILITIES First diceSecond dice Six Not six Not Six Not six

11 PROBABILITIES First diceSecond dice Six Not six Not Six Not six

12 The probability that Colin is late for work, on any given day = 0.2

13 First daySecond day Late Not late

14 First daySecond day Late Not late PROBABILITIES 0.2 0.8 Not late

15 First daySecond day PROBABILITIES Late Not late 0.2 0.8 Late Not late 0.2 0.8 Not late 0.2 x 0.2 = 0.04 0.8 x 0.8 = 0.64 0.8 x 0.2 = 0.16 0.2 x 0.8 = 0.16

16 Colin has a tin of sweets: 6 chocolates and 4 mints Produce a tree diagram to show the probabilities of taking one sweet followed by another sweet. What is the probability of taking two of the same type?

17 First sweetSecond sweet Chocolate Mint Chocolate Mint

18 PROBABILITIES First sweetSecond sweet C C M M M C

19 What is the probability of taking two of the same type? Chocolate and chocolate = Mint and mint = So two of the same =

20 Now you make up a story of your own.


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