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Tree diagrams and tables

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# Tree diagrams and tables - PowerPoint PPT Presentation

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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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

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

Today’s work

Exercise 7A pg 211

Q1, 2, 3, 5, 8, 9, 10