SOLUTION: Suppose P(A)= 1/3, P(A or B)= 1/2, and P (A intersection B)= 1/10. Find the P (A') Find the P( B) Find the P( B')

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose P(A)= 1/3, P(A or B)= 1/2, and P (A intersection B)= 1/10. Find the P (A') Find the P( B) Find the P( B')      Log On


   

Question 631118: Suppose P(A)= 1/3, P(A or B)= 1/2, and P (A intersection B)= 1/10.
Find the P (A')
Find the P( B)
Find the P( B')
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Suppose P(A)= 1/3, P(A or B)= 1/2, and P (A intersection B)= 1/10.

Note: P(A or B) = P(A) + P(B) - P(A and B)

             1%2F2++=+1%2F3+%2B+P%28B%29+-+1%2F10

         +15%2F30+-+3%2F30+%2B+10%2F30 = P(B)

                         22/30 = P(B)



 P (A') = 1 - 1/3

 P( B)  =  11/15

 P( B')  = 1 - 11/15