To find the probability of choosing marbles of different colors, we first need to find the probability of choosing a red marble followed by a blue marble, as well as the probability of choosing a blue marble followed by a red marble.
The probability of choosing a red marble on the first draw is 4/10, since there are 4 red marbles out of a total of 10 marbles.
After replacing the first marble, there are still 4 red marbles out of a total of 10 marbles, so the probability of choosing a blue marble on the second draw is 6/10.
Therefore, the probability of choosing a red marble followed by a blue marble is (4/10) * (6/10) = 24/100 = 12/50.
Similarly, the probability of choosing a blue marble followed by a red marble is (6/10) * (4/10) = 24/100 = 12/50.
Since these are the only two possible outcomes for choosing marbles of different colors, we can add these probabilities together to get the overall probability:
(12/50) + (12/50) = 24/50 = 12/25.
Therefore, the probability of choosing marbles of different colors is 12/25.
An urn contains four red marbles and six blue marbles. Two marbles are chosen in order with first marble being replaced after its colour is noted. The probability of choosing marbles of different colours is
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