Question

If u={1,2,3,4,5}. A subset S is chosen uniformly at random from a non-empty subset of U. What is the probability at S does not have two consecutive elements?

Answer 1

12/31 is the probability at S does not have two consecutive elements

Step-by-step explanation:

u={1,2,3,4,5}.

non-empty subset of U. = 31

1 , 2 , 3 , 4 , 5 , (1,2) ,(1,3) ,(1,4) ,(1,5) ,(2,3) ,(2,4) (2,5) ,(3,4),(3,5) ,(4,5) ,(1,2 ,3) ,(1,2,4) ,(1,2,5) , (1,3 ,4) ,(1,3,5) ,( 1,4,5) ,(2,3 ,4) ,(2,3,5) ,(2,4,5) ,(3,4,5) ,(1,2,3,4) ,(1,2,3,5) (1,2,4,5),(1,3,4,5) ,(2,3,4,5) ,(1,2,3,4,5)

A subset S is chosen uniformly at random from a does not have two consecutive elements

= 12

probability at S does not have two consecutive elements? = (12/31)

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