Point A is at the origin of the coordinate plane. The following trial is performed using one coin. Flip the coin once. If heads appears, move point A by 1 in the positive direction of the $x$-axis; if tails appears, move point A by 1 in the positive direction of the $y$-axis. Repeat this trial until the $x$-coordinate or $y$-coordinate of point A becomes 3 for the first time, then stop. What is the probability that when the $y$-coordinate of point A becomes 3 for the first time, the $x$-coordinate of point A is 1? [4 points] (1) $\frac { 1 } { 4 }$ (2) $\frac { 5 } { 16 }$ (3) $\frac { 3 } { 8 }$ (4) $\frac { 7 } { 16 }$ (5) $\frac { 1 } { 2 }$
Point A is at the origin of the coordinate plane. The following trial is performed using one coin.\\
Flip the coin once. If heads appears, move point A by 1 in the positive direction of the $x$-axis; if tails appears, move point A by 1 in the positive direction of the $y$-axis.\\
Repeat this trial until the $x$-coordinate or $y$-coordinate of point A becomes 3 for the first time, then stop. What is the probability that when the $y$-coordinate of point A becomes 3 for the first time, the $x$-coordinate of point A is 1? [4 points]\\
(1) $\frac { 1 } { 4 }$\\
(2) $\frac { 5 } { 16 }$\\
(3) $\frac { 3 } { 8 }$\\
(4) $\frac { 7 } { 16 }$\\
(5) $\frac { 1 } { 2 }$