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Randomness has a wide array of applications across various fields and disciplines. Here are some of the key applications: 1. **Cryptography**: Random numbers are essential for secure encryption methods. They are used to generate keys, nonces, and initialization vectors, ensuring the security of communications and data. 2. **Statistics**: Random sampling is used to obtain representative samples from a population, critical for surveys and experiments to ensure unbiased results and valid conclusions.

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  1. Applied probability
  2. Applied mathematics
  3. Fields of mathematics
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