+0  
 
0
48
1
avatar

Let \(S = \{1,2,3, \dots, n\}.\) Three subsets \(A,B,C\) of \(S\) are chosen at random. What is the probability that \(A \subseteq B \subseteq C\)?

 Apr 4, 2020
 #1
avatar
0

There are 2^n ways of choosing C, then 2^(n - 1) ways of choosing B, then 2^(n - 2) ways of choosing A, so the probability is 2^n*2^(n - 1)*2^(n - 2)/(2^n*2^n*2^n) = 1/8.

 Apr 4, 2020

31 Online Users

avatar
avatar
avatar
avatar