Today we will Recap last week and correct homework Mutually exclusive and non mutually exclusive events Use of Venn Diagrams to represent mutually exclusive events Mutually Exclusive Events 1 ID: 632164
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Mutually Exclusive eventsSlide2
Today we will…
Recap last week and correct homework
Mutually exclusive and non mutually exclusive events
Use of Venn Diagrams to represent mutually exclusive eventsSlide3Slide4Slide5
Mutually Exclusive Events
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Consider these two events
Drawing a red card
Drawing an even CardSlide6
Mutually Exclusive Events
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These two outcomes cannot happen together because there is no red card with an even number on it
These outcomes are said to be
mutually exclusiveSlide7
Mutually exclusive events
If the events A and B cannot happen together we calculate its Probability by
P(A or B) = P(A) + P(B)
This is called the
addition lawSlide8
Mutually Exclusive Events
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P ( red card or even number) = P(red) + P(even)
= 3/7 + 2/7
= 5/7
Outcomes are mutually exclusive if they cannot happen togetherSlide9
Non-Mutually Exclusive Events
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What is the probability of a red card or an even number?
There are 3 red cards and 3 even numbersSlide10
Non-Mutually Exclusive Events
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P(red) + P(even) is not 3/7 + 3/7 because 4 is now counted twice
When 2 events can occur at the same time
P(A or B) = P(A) + P(B) - P(A and B)Slide11
Non-Mutually Exclusive Events
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P(Red or Even) = P(Red) + P(Even) – P(Red and Even)
= 3/7 + 3/7 – 1/7
= 5/7Slide12
Try for yourself…
Question 5 Page 156Slide13
Use of Venn Diagrams
Sometimes it can be useful to represent these questions in Venn Diagrams
It allows us to organize our information and perform our calculations fasterSlide14
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U
Tennis
Football
The Venn Diagram shows the sports played by members of the Sport Club
How many members played
Both football and Tennis
Tennis but not Football
Neither
Football or tennis
Calculate the Probability of eachSlide15
Homework
Question
5 and 6 Page 159