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Tree diagrams and tables

Example 1. A four sided die is rolled and a coin is flipped. How many outcomes are there? What is the sample space? How many outcomes contain a prime? What is the probability of rolling a prime?. Tree diagrams and tables. A multistage event consists of 2 or more events occurring together.

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Tree diagrams and tables

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  1. Example 1 • A four sided die is rolled and a coin is flipped. • How many outcomes are there? • What is the sample space? • How many outcomes contain a prime? • What is the probability of rolling a prime? Tree diagrams and tables A multistage event consists of 2 or more events occurring together. Tables can display the outcomes for 2 stage events. Tree diagrams can display the outcomes for multistage events. • 4 × 2 = 8 • See below c) 4 d) P(prime) = 4/8 = ½

  2. B B G B B G G B B G G B G G Example 2 • A woman has 3 children. • What is the probability she has: • exactly 2 boys? • at least 2 boys? • More than 2 boys? P(2B, 1G) = 3/8 P(≥2B) = 4/8 = ½ P(>2B) = 1/8 Child 3 Child 2 Child 1 BBB    BBG    BGB    BGG    GBB    GBG       GGB    GGG

  3. Today’s work Exercise 7A pg 211 Q1, 2, 3, 5, 8, 9, 10

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