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A and b are two events such that p(a)=0.3 and p(AUB)=0.8 if a and b are two independent events then find p(b)

Kritika jain , 8 Years ago
Grade 10
anser 1 Answers
Nandana

Last Activity: 8 Years ago

Hi,
 Given ,
   p(A U B) = 0.8
   p(A) =0.3
   & A and B are independent events , so p(AB) = P(A)p(B)
   p(A U B) = p(A) + p(B) – p(AB)
    0.8 = p(A) + p(B) – p(A) p(B)
     0.8-0.3 = p(B) [1- 0.3]
from the above ,
   p(B) = 0.714285714 
 appx. p(B) = 0.714
    
   

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