Explanation:
To find the probability of selecting a purple marble, we need to determine the total number of marbles in the bag and the number of purple marbles.
The total number of marbles in the bag is:
12 orange marbles + 2 purple marbles + 3 red marbles = 17 marbles
The number of purple marbles is 2.
Therefore, the probability of selecting a purple marble is:
Number of purple marbles / Total number of marbles = 2 / 17
This fraction cannot be further reduced, so the probability of selecting a purple marble is 2/17.