A bag contains 6 blue marbles, 4 red marbles, and 2 yellow marbles.

What is the probability of selecting a blue marble, replacing it, then selecting another blue marble?

The probability of selecting a blue marble is 6/12 = 1/2.

Since the marble is replaced, the probability of selecting another blue marble is also 1/2.
To find the probability of both events happening, we multiply their probabilities together: (1/2) * (1/2) = 1/4.
Therefore, the probability of selecting a blue marble, replacing it, then selecting another blue marble is 1/4.