Question

Question 26
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
(a) $\frac{4}{23}$
(b) $\frac{6}{23}$
(c) $\frac{8}{23}$
(d) $\frac{17}{23}$

Answer 1

Total number of students =23
Number of students in house A, B and C =4+8+5=17
$\therefore$ Remains students =23-17=6
So, probability that the selected student is not from A, B and C = $\frac{6}{23}$.

Hence, Option (B) is correct.