That certainly does not happen with my letter allocation. I have a massive document listing all my letters, and the words I played, and there is no duplication of I in sight. If there is a letter that tends to come to me in pairs, it is E. Since the letter allocation is spread across all players, not to an individual, it is probably just the luck of timing.
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(Editor in Humanities, Religion, Literature and For Children)
That's all, folks!