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Mutually Exclusive events Mutually Exclusive events

Mutually Exclusive events - PowerPoint Presentation

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Uploaded On 2018-02-16

Mutually Exclusive events - PPT Presentation

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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Presentation Transcript

Slide1

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 eventsSlide3
Slide4
Slide5

Mutually Exclusive Events

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9

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Consider these two events

Drawing a red card

Drawing an even CardSlide6

Mutually Exclusive Events

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2

9

7

5

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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

10

35

40

45

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