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 both marbles are blue.


0.24


0.86


0.14


0.3

1 answer

The probability of selecting a blue marble on the first draw is 3/5.
After removing one blue marble from the urn, there are 4 marbles left, 2 of which are blue.
Therefore, the probability of selecting a blue marble on the second draw is 2/4 (since one blue marble has already been removed).

Multiplying the probabilities gives:
(3/5) * (2/4) = 6/20 = 0.3

Therefore, the probability that both marbles are blue is 0.3.