Actually she can, unless I have a huge flaw in my logical thinking.
After she has picked gloves 3 she can have:
3 black gloves.
3 brown gloves.
2 black gloves and 1 brown glove.
2 brown gloves and 1 black glove.
In all 4 scenarios she has one matching pair, and thus she can be certain after 3 picks.
After she has picked gloves 3 she can have:
3 black gloves.
3 brown gloves.
2 black gloves and 1 brown glove.
2 brown gloves and 1 black glove.
In all 4 scenarios she has one matching pair, and thus she can be certain after 3 picks.
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