Let us suppose no of women to X. In that case the probability of selecting 2 woman > 0.5

X * ( X - 1 ) / 2 / ( 10 * 9 / 2) > 0.5

X * ( X - 1 ) > 45

which clearly indicates the X > 7 or in other words it would mean man should be < 3.

From the first statement : More than 1/2 of the 10 employees are woman.

but this does not help. hence insufficient.

From the second statement : Y ( Y - 1 ) / 10 * 9 < 1/10

Y(Y-1) < 9

Y can be 0,1,2,3

Combining both statements also does not solve the question.

Hence answer is E

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