The Student Room Group

Probability that 3 units are drawn from 3 boxes?

The full question:

There are three boxes, each of which contains balls with numbers from 0 to 9. One ball is taken from each box. What is the probability that
a) three units are drawn

The answer = 1/10³ which I am confused on, as I assumed out of the 10 balls, each bag contains 9 units (1-9 excluding zero), so I thought the answer was 9³/10³. I am confused.
A unit is referring to the unit value, namely 1.

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