If $X = \{a, b, c, d\}$ and $Y = \{f, b, d, g\},$ find $X \cap Y$.
- A$\{a, c, f, g\}$
- B$\{b, d\}$
- C$\{a, b, c, d, f, g\}$
- D$\{a, b, c, d, f, g\}$
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