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# Sets and Probability

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Hello can I get some help with this question please

Let \(S = \{1, 2, 3, \dots, n\}.\) Three subsets \(A, B, C\)  of \(S\)  are chosen at random.

(a) Find the probability that \(A \cup B \cup C = S.\)

and there was another part that I am also having trouble with:

(b)Find the probablity that \(A \subseteq B \subseteq C.\)

Oct 1, 2022

#1
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(a) The probability is 1/2^n

(b) The probability is 1/8^n.

Oct 8, 2022
#2
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Answers without explanations are useless.

Melody  Oct 10, 2022