Suppose that PUB 074 PAB 074 PB 022Determine PBA Round
Suppose that PU\\B) = 0.74 # P[A\\B = 0.74 , P(B) = 0.22.Determine P(B\\A) Round your answer to three decimal places (e.g. 98.765).
Solution
P(A)=P(A|B)P(B) + P(A|B\')P(B\')
=P(A|B)P(B) + P(A|B\')(1-P(B))
=0.74*0.22+0.74*0.78
=0.1628+0.5772
=0.74
P(AB)=P(A|B)P(B)=0.74*0.22=0.1628
Thus,P(B|A)=P(BA)/P(A)=P(AB)/P(A)=0.1628/0.74=0.22
