Simplify: $\left(1 - \frac{1}{2^2}\right) \left(1 - \frac{1}{3^2}\right) \left(1 - \frac{1}{4^2}\right) \dots \left(1 - \frac{1}{20^2}\right)$.
Options:
- A: $\frac{21}{40}$
- B: $\frac{19}{40}$
- C: $\frac{11}{20}$
- D: $\frac{9}{20}$
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