Final answer:
The probability of drawing two red marbles in succession with replacement from an urn containing 4 red and 6 blue marbles is 4/25.
Step-by-step explanation:
The student's question is about calculating the probability that both marbles drawn from an urn are red when drawn one at a time with replacement.
Given that there are 4 red marbles and 6 blue marbles, the total number of marbles is 10. The probability of drawing a red marble on the first try is 4/10 or 2/5.
Since the first marble is put back before the second is drawn, the probability remains the same for the second draw.
Therefore, the probability that both draws yield red marbles is the product of the individual probabilities: (2/5) * (2/5) equals 4/25.