Selecting from multiple arrays at random

I am currently using Java to code a means of 'nesting' (of sorts) a group of arrays such that I can select one at random and then continue to select an element from said randomly selected array to use. It's for a Boggle game, so each individual array relates to a die that has fixed values. After selecting the first random array/dice it will need to be removed from the list of random selections as well, if anyone can extend to that degree their assistance.