The expected number of pairs of people who are standing next to each other in line and in the same group is ( 2n ) ! / 2^n * n! .
Given :
stand by me [14 points] what is the expected number of pairs of people who are standing next to each other in line and in the same group .
we know that ,
Number of pairs is determined by using the concept combinations of binomial distribution .
= ( 2n ) ! / 2^n * n !
here we represent * has . for multiplication to reduce the complexity .
= ( 2n ) ! / 2^n . n!
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