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Let \( S=\{1,2, \ldots \ldots, 20\} \). A subset B of \( S \) is said to be "nice", if the sum of the elements of B is 203. Then the probability that a randomly chosen subset of S is "nice" is :-
\( \mathrm{P} \)
(1) \( \frac{6}{2^{20}} \)
(2) \( \frac{5}{2^{20}} \)
(3) \( \frac{4}{2^{20}} \)
(4) \( \frac{7}{2^{20}} \)
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