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The ratio of boys to girls is 2 to 4, which can be simplified to 1 to 2. Since there are 850 kids in total, the number of girls would be 2/3 of 850.
Number of girls = (2/3) * 850 = 567
Therefore, the expected number of girls would be 567 out of 850 kids.
So the answer is C. 567 girls out of 850 kids.