Answer is (1) 11/16
A : Event when card A is drawn
B : Event when card B is drawn.
P(A) = P(B) = 1/2
Required probability = P(AA or (AB)A
or (BA)A or (ABB)A or (BAB)A or (BBA)A)
= 1/2 x 1/2 + (1/2 x 1/2 x 1/2) x 2 + (1/2 x 1/2 x 1/2 x 1/2) x 3
= 1/4 + 1/4 + 3/16 = 11/16