From the information given, it is found that the least number of balls we need to take out to be certain we have two blue balls is 14.
- In the bag, there are 12 + 7 = 19 balls, of which 12 are red and 7 are blue.
- The balls are chosen without replacement, that it, they are removed from the bag, and not placed back.
- In theory, we could pick 12 balls, and all 12 being red, while also 13, with 12 red and 1 blue.
- Thus, at least 14 balls are needed to guarantee that there are at least 2 blue.
A similar problem is given at https://brainly.com/question/24826394