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