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Sagot :
We are given with the following :
- [tex]{\sf{P(A)=0.48}}[/tex]
- [tex]{\sf{P(B)=0.75}}[/tex]
- [tex]{\sf{P(A\cap B)=0.43}}[/tex]
And we are asked to find [tex]{\bf{P(A\cup B)}}[/tex] . But before doing this , let's recall :
- [tex]{\boxed{\bf{P(A\cup B)=P(A)+P(B)-P(A\cap B)}}}[/tex]
Now , putting the values
[tex]{:\implies \quad \sf P(A\cup B)=0.48+0.75-0.43}[/tex]
[tex]{:\implies \quad \sf P(A\cup B)=1.23-0.43}[/tex]
[tex]{:\implies \quad \sf P(A\cup B)=0.80=0.8}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{P(A\cup B)=0.8}}}[/tex]
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