Answer:
To find the probability of drawing two red balls with replacement, we need to determine the probability of drawing a red ball on each draw and multiply those probabilities together.
The bag contains a total of 12 red balls, 3 white balls, and 1 blue ball. Since we are drawing with replacement, the total number of balls remains the same for each draw.
The probability of drawing a red ball on the first draw is 12/16, as there are 12 red balls out of a total of 16 balls in the bag.
Similarly, the probability of drawing a red ball on the second draw is also 12/16, as the number of red balls and total balls remain the same.
To find the probability of both events happening, we multiply the probabilities together: (12/16) * (12/16) = 0.5625.
Therefore, the probability of drawing two red balls with replacement is 0.5625 or 56.25%.