Slide 1 © 2006 Baylor University

Fundamentals of Engineering AnalysisEGR 1302 Unit 4, Lecture G

Approximate Running Time is 9 MinutesDistance Learning / Online Instructional Presentation

Presented byDepartment of Mechanical Engineering

Baylor University

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Slide 2 © 2006 Baylor University

Die 1 2 3 4 5 6

1 1-1 1-2 1-3 1-4 1-5 1-6

2 2-1 2-2 2-3 2-4 2-5 2-6

3 3-1 3-2 3-3 3-4 3-5 3-6

4 4-1 4-2 4-3 4-4 4-5 4-6

5 5-1 5-2 5-3 5-4 5-5 5-6

6 6-1 6-2 6-3 6-4 6-5 6-6

Sum of Two Dice Events

}8{1 sumA

}spot 5 oneleast at {2 A

?)( 21 AAn ?)( 21 AAn

}44,35,53,26,62{1 A 5)( 1 An

}56,54,53,52,51,65,55,45,35,25,15{2 A

11)( 2 An

repeats) (w/two 16)( 21 AAn 2)( 21 AAn

}35,53{21 AA

Slide 3 © 2006 Baylor University

Mutually Exclusive Events

117 ,PP

“Mutually Exclusive”: No Two separate events can occur in the same trial.

are Mutually Exclusive 117117 PPP or

Disjoint Sets AA 21 AA

)()( 21212121 AAAAAAPAAP

)()(*)( 2121 AAPAPAP 923

36

5)( 1 AP

36

11)( 2 AP )(

36

11

36

5)( 2121 AAPAAP

36

14)( 21 AAP

Slide 4 © 2006 Baylor University

General Probability Observations

always a fraction or %10 P

a certainty1P 1 OddEven PP

Never Happen0P

NEventsEMN PPPPP ...321_.._ Mutually Exclusive

Trials

EventsPROBABILITY _#

_#

Slide 5 © 2006 Baylor University

This concludes Unit 4, Lecture G