troubleshooting Question

Generating a random series.

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krakatoaFlag for United Kingdom of Great Britain and Northern Ireland asked on
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I have my own idea of the 'best' answer to this, so this question is to arrive at others' views on the correctness or otherwise of my assumption. Here it is :

How to best construct a random sequence of 1s and 0s ?
So to end up with a string (or array or whatever) of, say, 53 0s and 1s, what would be the route / tool to obtaining that in a random fashion ?

In Java of course. But a conceptual answer will be enough, if you prefer. Thanks.
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