A bag contains 1 white ball marked with 1, 1 white ball marked with 2, 1 black ball marked with 1, and 3 black balls marked with 2. We perform a trial of simultaneously drawing 3 balls from the bag. Let $A$ be the event that among the 3 balls drawn, 1 is white and 2 are black, and let $B$ be the event that the product of the numbers on the 3 balls is 8. What is the value of $\mathrm { P } ( A \cup B )$? [3 points] (1) $\frac { 11 } { 20 }$ (2) $\frac { 3 } { 5 }$ (3) $\frac { 13 } { 20 }$ (4) $\frac { 7 } { 10 }$ (5) $\frac { 3 } { 4 }$
A bag contains 1 white ball marked with 1, 1 white ball marked with 2, 1 black ball marked with 1, and 3 black balls marked with 2. We perform a trial of simultaneously drawing 3 balls from the bag. Let $A$ be the event that among the 3 balls drawn, 1 is white and 2 are black, and let $B$ be the event that the product of the numbers on the 3 balls is 8. What is the value of $\mathrm { P } ( A \cup B )$? [3 points]\\
(1) $\frac { 11 } { 20 }$\\
(2) $\frac { 3 } { 5 }$\\
(3) $\frac { 13 } { 20 }$\\
(4) $\frac { 7 } { 10 }$\\
(5) $\frac { 3 } { 4 }$