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Question
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 ______.
Options
`4/23`
`6/23`
`8/23`
`17/23`
Solution
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 `underlinebb(6/23)`.
Explanation:
Total number of students = 23
Number of students in house A, B and C = 4 + 8 + 5 = 17
∴ Remains students = 23 – 17 = 6
So, probability that the selected student is not from A, B and C = `6/23`
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