Box A contains 3 red balls and 5 black balls, and box B is empty. When 2 balls are randomly drawn from box A, if a red ball appears, perform [Execution 1], and if no red ball appears, perform [Execution 2]. What is the probability that the number of red balls in box B is 1? [3 points] [Execution 1] Put the drawn balls into box B. [Execution 2] Put the drawn balls into box B, and then randomly draw 2 more balls from box A and put them into box B. (1) $\frac { 1 } { 2 }$ (2) $\frac { 7 } { 12 }$ (3) $\frac { 2 } { 3 }$ (4) $\frac { 3 } { 4 }$ (5) $\frac { 5 } { 6 }$
Box A contains 3 red balls and 5 black balls, and box B is empty. When 2 balls are randomly drawn from box A, if a red ball appears, perform [Execution 1], and if no red ball appears, perform [Execution 2]. What is the probability that the number of red balls in box B is 1? [3 points]\\
[Execution 1] Put the drawn balls into box B.\\
[Execution 2] Put the drawn balls into box B, and then randomly draw 2 more balls from box A and put them into box B.\\
(1) $\frac { 1 } { 2 }$\\
(2) $\frac { 7 } { 12 }$\\
(3) $\frac { 2 } { 3 }$\\
(4) $\frac { 3 } { 4 }$\\
(5) $\frac { 5 } { 6 }$