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
To calculate the probability that the first marble is blue and the second marble is red, we need to determine the probability of each event separately and then multiply the probabilities together.
The probability of selecting a blue marble on the first draw is 3/5 because there are 3 blue marbles out of a total of 5 marbles.
Since the marble is replaced after the first draw, there are still 2 red marbles and 3 blue marbles in the urn for the second draw. 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:
(3/5) * (2/5) = 6/25
So, the probability that the first marble is blue and the second marble is red is 6/25 or 0.24.