Let i, j ∈ Za and w, x ∈ Zb with i, j different from each other and w, x different from each other. When a function f : Za → Zb is chosen at random, what is Pr[f(j) = x | f(i) = w]? Express your answer numerically using plain text without spaces. Use / and ^ and ! to represent division, exponentiation and factorial. Use parenthesis around a term only if it is necessary. Examples: 1/(x-1), (x-3)/10, x!, (x-1)!, x^2, 2^(x-1), etc.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Let i, j ∈ Za and w, x ∈ Zb with i, j different from each other and w, x different from each other. When a function f : Za → Zb is chosen at random, what is Pr[f(j) = x | f(i) = w]?

Express your answer numerically using plain text without spaces. Use / and ^ and ! to represent division, exponentiation and factorial. Use parenthesis around a term only if it is necessary. Examples: 1/(x-1), (x-3)/10, x!, (x-1)!, x^2, 2^(x-1), etc.

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