If A and B are mutually exclusive events with P(A)= 1 4 and P(B)= 3 7 . Then, what is the value of P(A / A B)= ?

Step-by-step solution

A and B are mutually exclusive aligned & A B= P(A B)=0 & and P(A)= 1 4 and P(B)= 3 7 aligned Now, P ( A A B )= P(A (A B)) P(A B) [ P ( A B )= P(A B) P(B) ] aligned & A (A B)=A & P(A (A B))=P(A)= 1 4 aligned and aligned P(A B) & =P(A)+P(B)-P(A B) & = 1 4 + 3 7 -0= 7+12 28 = 19 28 aligned aligned Required probability & = 1 4 19 28 & = 28 19 4 = 7 19 aligned