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Q.

A school has five houses A, B, C, D, and E. The 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 A, B and C from the choices given below is:


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a

4 23

b

6 23

c

8 23

d

17 23  

answer is B.

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Detailed Solution

It is given that, 5 classes with some students in it.
Total number of students in a class is 23 .
Total number of students in houses A,B,C=4+8+5
=17
So, the total number of students not in houses A,B,C is,
=2317 =6
Let A be the event of selecting a student not from class A, B, C, then the probability of the event can be calculated by,
P(A)= Number of favourable outcomes Total number of outcomes
= 6 23
Hence, the probability is 6 23 .
Hence, option 2) is correct.
 
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