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The probability of picking the letter "a" tile each time is 1/26, since there are 26 total letter tiles in the box.
Therefore, after 100 picks, we would expect "a" to be picked approximately 100 * (1/26) = 3.85 times.
Since we can't pick a fraction of a tile, we would round this number to the nearest whole number.
So, the letter "a" tile would be picked approximately 4 times out of 100.