Question

An urn contains 2 red and 3 blue marbles. Two marbles are selected at random, one after the other and with replacement, from the urn. Calculate the probability that the first marble is blue and the second is red.

Answer 1

Since we are selecting marbles with replacement, the probability of selecting a blue marble on the first draw is 3/5, and the probability of selecting a red marble on the second draw is 2/5.
Therefore, the probability of selecting a blue marble on the first draw and a red marble on the second draw is:

P(blue then red) = P(blue) * P(red) = (3/5) * (2/5) = 6/25

So, the probability that the first marble is blue and the second is red is 6/25.