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There are a total of 6 + 7 + 4 + 3 = 20 bulbs in the basket.
The first customer took 4 bulbs, one from each type, which means there are 20 - 4 = 16 bulbs remaining.
Since there are now 16 bulbs left to choose from, and only 6 of them are amaryllis bulbs, the probability that the next customer will select an amaryllis bulb is 6/16 = 3/8 = 0.375.
Therefore, the probability that the customer will get an amaryllis bulb is 37.5%.