Let A and B be events in a sample space S such that P(A)=0.5, P(B)=0.4 and P(A B)=0.6 . Observe the following lists. The correct match of List I from List II is (i) (ii) (iii) (iv)

Step-by-step solution

Given, P(A)=0.5, P(B)=0.4 and P(A B)=0.6 array lc (i) & P(A B)=P(A)+P(B)-P(A B) & 0.6=0.5+0.4-P(A B) & P(A B)=0.3 array (ii) aligned P(A B ) & =P(A)-P(A B) & =0.5-0.3=0.2 aligned (iii) aligned P( A B) & =P(B)-P(A B) & =0.4-0.3=0.1 aligned (iv) aligned & P (A B )=P(A B)^c = & 1-P(A B)=1-0.6 = & 0.4 aligned