Answer:
[tex]C \cup B =[(x,y),:x=2 \:Or\: y=2 \:Or\: x+y=5, 1 \leq x \leq 6,1 \leq y \leq 6 ]\\[/tex]
Step-by-step explanation:
Let the outcome from the two dice be (x,y) where x is the outcome from the red die and y is the outcome from the green die.
Event A: the red die shows 2
[tex]A=[(x,y), x=2,1 \leq y \leq 6 ][/tex]
Event B: the numbers add to 5
[tex]B=[(x,y),:x+y=5, 1 \leq x \leq 6,1 \leq y \leq 6 ][/tex]
Event C: at least one of the numbers is 2;
[tex]C=[(x,y),:x=2 \quad Or \quad y=2, 1 \leq x \leq 6,1 \leq y \leq 6 ][/tex]
Event D: the numbers do not add to 9;
[tex]D=[(x,y),:x+y\neq 9, 1 \leq x \leq 6,1 \leq y \leq 6 ][/tex]
Therefore:
[tex]C \cup B =[(x,y),:x=2 \:Or\: y=2 \:Or\: x+y=5, 1 \leq x \leq 6,1 \leq y \leq 6 ]\\[/tex]
