clydeben3154 clydeben3154
  • 08-02-2018
  • Mathematics
contestada

You are given p ( a ∪
b. = 0 . 7 and p ( a ∪ ̄
b. = 0 . 9. determine p (
a..

Respuesta :

mathmate
mathmate mathmate
  • 08-02-2018
Given:
[tex]P(A \cup B)=0.7[/tex]
[tex]P(A \cup B')=0.9[/tex]

Need to find
[tex]P(A)[/tex]

We know that 
[tex]P(A \cup B)+P(A \cup B')=P(A)+P(U)=P(A)+1=1.6[/tex]
=>
[tex]P(A)=1.6-1=0.6[/tex]

This can be illustrated by the attached Venn diagram.
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