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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.

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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.

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

example 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

today s work
Today’s work

Exercise 7A pg 211

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

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