Answer: [tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
The given event : A randomly drawn marble is blue.
The number of blue marbles in the bag = 2
The total number of marbles in the bag = [tex]2+7+3=12[/tex]
Now, the probability of drawing a blue marble is given by :-
[tex]\text{P(Blue)}=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}\\\\\Rightarrow\text{P(Blue)}=\dfrac{2}{12}=\dfrac{1}{6}[/tex]
Hence, the probability of the given event event = [tex]\dfrac{1}{6}[/tex]