Self Maths Puzzle General Ability General Knowledge

Suppose 1 to N numbers are there... Select two numbers randomly from 1 to N numbers and apply a+b+a formule and place it for last..... aplly this formulee until one number gets, what is that number?

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a binary communication channel carries data as one of the two types of signals denoted by 'a' and 'b'. owing to noise a transmitted 'a' is sometimes received as 'b' and a transmitted 'b' is sometimes received as 'a'. for a given channel assume a probability of 0.94 that a transmitted 'a' is correctly received as 'a' and the probability of 0.91 that a transmitted 'b' is received as 'b' further assume a probability of 0.45 of transmitting a 'a'. If a signal is sent,determine probability that 'b' is received. probability that 'b' was transmitted given that 'a' was received