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If P(A)= 0.3 , P (B)= 0.2, and P(A and B)= 0.1 , determine the following probabilities: (a) P( A' ) (b) P (A U B) (c) P(A' INTERSECT B) (d) P [ (A U B)' ] (e) P (A' U B)'

Respuesta :

Answer:

Step-by-step explanation:

Given that  P(A)= 0.3 , P (B)= 0.2, and P(A and B)= 0.1

,(a) P( A' )=[tex]1-P(A) = 0.7[/tex]

(b) P (A U B)=[tex]P(A)+P(B)-P(AB) =0.2+0.2-0.1\\=0.3[/tex]

(c) P(A' INTERSECT B) =

(d) P [ (A U B)' ] =[tex]P(B)-P(AB) = 0.2-0.1=0.1[/tex]

(e) P (A' U B)'=[tex]1-P(AB)\\=0.9[/tex]

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