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First, we need to determine how many red marbles are in the bowl.
We know that there are 60 black marbles, 38 white marbles, so the total number of black and white marbles is 60 + 38 = 98.
Since there are 120 marbles in total, the number of red marbles is 120 - 98 = 22.
So, the probability that Nicole will pull a red marble out of the bowl is 22/120 = 11/60 or approximately 0.1833.