Question

basics of probability
if ( k in a cap b ), which is the most specific location of ( k ) on the venn
diagram?
ii
i
iii
iv

Explanation:

The symbol $\cap$ represents the intersection of sets. The intersection of sets \(A\) and \(B\) (\(A\cap B\)) consists of elements that are in both set \(A\) and set \(B\). Looking at the Venn - diagram:

• Region I: Elements only in set \(A\)
• Region II: Elements in both set \(A\) and set \(B\) (the intersection \(A\cap B\))
• Region III: Elements only in set \(B\)
• Region IV: Elements in the universal set \(U\) but not in set \(A\) or set \(B\)

Since \(k\in A\cap B\), \(k\) must be in the region that is common to both \(A\) and \(B\).

Answer:

II