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The total number of red marbles in the bowl is 120 - 60 - 38 = 22.
The probability of drawing a red marble on the first draw is 22/120 = 11/60.
Since the marble is replaced before the second draw, the probability of drawing a black marble on the second draw is still 60/120 = 1/2.
The probability of drawing a red marble and then a black marble is the product of the two probabilities: (11/60) * (1/2) = 11/120.
Therefore, the probability that Nicole will pull a red marble first and then a black marble is 11/120.