A) \[\frac{1}{2}\]
B) \[\frac{64}{127}\]
C) \[\frac{63}{128}\]
D) \[\frac{31}{128}\]
Correct Answer: B
Solution :
Let\[S=\{{{x}_{1}},{{x}_{2}},{{x}_{3}},{{x}_{4}},{{x}_{5}},{{x}_{6}},{{x}_{7}}\}\] Let the chosen element be \[{{x}_{i}}.\] Total number of subsets of \[S={{2}^{7}}=128\] No. of non-empty subsets of \[S=128-1=127\] We need to find number of those subsets that contains \[{{x}_{i}}\].2 | 2 | 2 | 2 | 1 | 2 | 2 |
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