In a box, there are 20 cards, out of which 10 are labelled as $A$ and the remaining 10 are labelled as $B$. Cards are drawn at random, one after the other and with replacement, till a second $A$ card is obtained. The probability that the second $A$ card appears before the third $B$ card is:
(1) $\frac { 9 } { 16 }$
(2) $\frac { 11 } { 16 }$
(3) $\frac { 13 } { 16 }$
(4) $\frac { 15 } { 16 }$