49. Exemplar Exercise Problem VIII

A school has five houses \(A\), \(B\), \(C\), \(D\) and \(E\). A class has \(23\) students, \(4\) from house \(A\), \(8\) from house \(B\), \(5\) from house \(C\), \(2\) from house \(D\) and rest from house \(E\). A single student is selected at random to be the class monitor. The probability that the selected student is not from \(A\), \(B\) and \(C\) is