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You need to apply the fundamental laws of probability here.
1st: You must apply the fact that the name of the 3rd daughter is independent of the names of other 2 daughter.
2nd: The third kid can be named in any ways. In mathematical terms infinite numbers of ways, out of which Dimetria is just one name
Hence, Probability that the 3rd daughter is names Dimetria
= number of ways you can name the 3rd daughter Dimetria / total number of ways you can name her
= 1/ infinite
= 0
So, answer is 0%. D is correct
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