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The Monty Hall problem
Let's say there are ten covered buckets. One of the buckets holds gold, while the rest are empty. I can't lift or touch the buckets, but I can randomly choose one from the set. Moreover, after my first selection, an empty bucket is revealed and I am asked if I want to re-select.
Would random re-selection help my chances of winning? And if don't re-select are my chances to win 1/10 or 1/9?