(a) \(rac{1}{25}\) Let us assume S as the sample space in all questions. S means the set denoting the total number of outcomes possible. Let S = {1, 2, 3, …, 100} be the sample space. Then, n(S) = 100 Let A : Event of selecting a cube from the given set S. ⇒ A = {18, 27, 64} ⇒ n(A) = 4 ∴Required probability P(A) = \(rac{n(A)}{n(S)}\) = \(rac{4}{100}\) = \(rac{1}{25}\)