Choose the correct answer from the given four options: A school h… - Vidyadip

MCQ

Choose the correct answer from the given four options:
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
$\frac{4}{23}$
✓
$\frac{6}{23}$
C
$\frac{8}{23}$
D
$\frac{17}{23}$

✓

Answer

Correct option: B.

$\frac{6}{23}$

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 $=\frac{6}{23}$

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