An urn contains 2 red and 3 blue marbles. Two marbles are selected at random, one after the other and without replacement, from the urn. Calculate the probability that the first marble is red and the second is blue.
0.24
0.76
0.7
0.3
The probability of selecting a red marble first is 2/5 (2 red marbles out of 5 total marbles). After selecting a red marble, there will be 1 red marble and 3 blue marbles left in the urn. Therefore, the probability of selecting a blue marble second is 3/4.
Multiplying the probabilities together:
(2/5) * (3/4) = 6/20 = 0.3
So, the probability that the first marble is red and the second is blue is 0.3. Therefore, the correct answer is:
0.3