This representation is unique except when x is a binary rational (sometimes also called a dyadic rational), that is, a number of the form k/2n where n∈\N+ and \(k \in \{1, 3, \ldot...This representation is unique except when x is a binary rational (sometimes also called a dyadic rational), that is, a number of the form k/2n where n∈\N+ and k∈{1,3,…,2n−1}; the positive integer n is called the rank of x. Thus, for p=12 (fair trials), the probability that the bold gambler reaches the target fortune a starting from the initial fortune x is x/a, just as it is for the timid gambler.
