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Number of blue balls + Number of white balls + Number of black balls = 4 + 5 + 6 = 15
Total number of balls in the bag = 3 + 4 + 5 + 6 = 18
Probability = (Number of blue balls + Number of white balls + Number of black balls) / Total number of balls
Probability = 15 / 18
Probability = 5 / 6
Therefore, the probability that a ball picked at random is either blue, white, or black is 5/6.