1728 is even so it cannot have an odd cube root.
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and the question is ... ?
The cube number pattern doesn't end.The first 12 cube numbers are:1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728...
Any odd root, for example the cube root, of -3.24 is a real number.
27 is an odd number.
If I understand the question correctly, you want the probability of each cube showing an odd number. If the number cubes are fair, then the answer is 1/4.