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43 marbles in all, so
P(red,blue) = 8/43 * 12/43
P(red,blue) = 8/43 * 12/43
First, let's find the probability of drawing a red marble. There are a total of 5 + 8 + 11 + 7 + 12 = 43 marbles in the bag. Of these, 8 are red. Thus, the probability of drawing a red marble is 8/43.
Next, let's find the probability of drawing a blue marble. Since we replace the marble after each draw, the total number of marbles remains the same. Out of the 43 marbles, 12 are blue. Therefore, the probability of drawing a blue marble is also 12/43.
To find the probability of both events happening, we multiply the probabilities together: (8/43) * (12/43) = 96/1849.
So, the probability of drawing a red marble and then a blue marble with replacement is 96/1849.