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Mutually Exclusive Events, Study notes of Probability and Statistics

Mindanao State University (MSU)Probability and Statistics

QUESTION - "What is the probability of event A OR event B occurring?" • when events can not happen at the SAME time. ex: P(roll a sum 7 or 11 on a pair of ...

Typology: Study notes

2021/2022

Uploaded on 08/01/2022

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Mutually Exclusive Events
QUESTION - "What is the probability of
event A OR event B occurring?"
•
when events
can not
happen at the SAME time.
ex: P(roll a sum 7 or 11 on a pair of dice)
=
Formutuallyexclusiveevents,
P(AorB)=P(A)+P(B)
pf3
pf4
pf5
pf8
pf9

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Mutually Exclusive Events

QUESTION - "What is the probability of event A OR event B occurring?"

  • when^ events^ can^ not^ happen^ at^ the^ SAME^ time. ex: P(roll a sum 7 or 11 on a pair of dice) = For mutually exclusive events, P(A or B) = P(A) + P(B)
  • let's look at this type of probability using a Venn Diagram... ex: P(Jack or odd numbered card) Jclubs Jspades Jhearts Jdiamonds (^3) hearts (^5) hearts (^7) hearts (^9) hearts (^3) clubs (^5) clubs (^7) clubs (^9) clubs (^9) diamonds (^7) diamonds (^5) diamonds (^3) diamonds (^3) spades (^5) spades (^7) spades (^9) spades

32 other cards

P(Jack OR odd #) = P(Jack) + P(odd #)

52 16 52

20 52

5 13

  • Class/Homework: Worksheet 3.