Assume that source elements of length k are mapped in some uniform fashion into a target elements of length p. If each digit can take on one of r values, then the number of source elements is r ^{k} and the number of target elements is the smaller number r p . A particular source element xi is mapped to a particular target element y_{j}.

a. What is the probability that the correct source element can be selected by an adversary on one try?

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b. What is the probability that a different source element x_{k}(x_{i} ≠ x_{k}) that results in the same target element, y_{j} , could be produced by an adversary?

c. What is the probability that the correct target element can be produced by an adversary on one try?

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