- The following Venn diagram shows the participation of 100 students in three activities, \(A , B\), and \(C\), which represent athletics, baseball and climbing respectively.
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For these 100 students, participation in athletics and participation in climbing are independent events.
- Show that \(x = 10\) and find the value of \(y\).
- Two students are selected at random, one after the other without replacement. Find the probability that the first student does athletics and the second student does only climbing.