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Learning Intention:
Learning Intention:
Sucess Criteria
Sucess Criteria
To understand how probability of an event can be found via the complement
To understand how probability of an event can be found via the complement
1. I can describe the complement of an event
1. I can describe the complement of an event
2. I can calculate the complement given the probability
2. I can calculate the complement given the probability
3. I can find the probability of an event using it's complement
3. I can find the probability of an event using it's complement
The Complement
The Complement
Complements in probability are opposites:
Complements in probability are opposites:
To find the probability of a complement we use this formula
To find the probability of a complement we use this formula
What is P(Ac)
What is P(Ac)
Its the symbol for the complement, there are other ways to represent the complement also
Its the symbol for the complement, there are other ways to represent the complement also
Where does this formula come from?
Where does this formula come from?
It comes from algebra! Mr Hewitt will show you on the board
It comes from algebra! Mr Hewitt will show you on the board
What is my probability is a percentage?
What is my probability is a percentage?
Instead of 1 - P(A), use 100 - P(A)
Instead of 1 - P(A), use 100 - P(A)
Examples:
Examples:
If there is a 27% chance of rain tomorrow, what is the chance of it not raining tomorrow?
If there is a 27% chance of rain tomorrow, what is the chance of it not raining tomorrow?
100 - 27 = 73%
100 - 27 = 73%
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