Overlapping clubs

Overlapping clubs

IP 2

3 marks

TGM Original Questions

In a class of \(40\) students, \(22\) belong to the robotics club and \(18\) belong to the chess club. Six students belong to neither club.

Find the number of students who belong to both clubs.[2]
One student is selected at random, with each student equally likely. Find the probability that the student belongs to exactly one of the two clubs.[1]

Solution:

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Answer:(a) \(6\) (b) \(\dfrac7{10}\)

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