$A$ 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 the 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 house $A, B$,or $C$ is: (in $/23$)
- A$4$
- B$5$
- C$17$
- D$6$
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