Let S = {1, 2, … , 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:

Let S = {1, 2, … , 20}. A subset B of S is said to be “nice”, if

1.	Let S = {1, 2, … , 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:
A.	\(\frac{7}{{{2^{20}}}}\)
B.	\(\frac{5}{{{2^{20}}}}\)
C.	\(\frac{4}{{{2^{20}}}}\)
D.	\(\frac{6}{{{2^{20}}}}\)
Answer» C. \(\frac{4}{{{2^{20}}}}\)

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Let S = {1, 2, … , 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:

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