> Can you also give an example where "true randomness" would differ from the randomness I describe on the actions a human would take? That is to say, if a my in

> Can you also give an example where "true randomness" would differ from the randomness I describe on the actions a human would take? That is to say, if a my internal model of the world tells me a coin landing on heads is 50/50 how does "true randomness" or not of the resulting coin toss impact how I should gamble on coin tosses? It's pretty simple. If the world is fundamentally deterministic, then you should only gamble with someone who you believe doesn't possess knowledge you don't. If an advanced alien or an angel offers to call a coin toss, you shouldn't take their bet, since they might know how to determine the result of the coin toss based on the weather and the color of the coin tosser's pants. On the other hand, if the universe is fundamentally random at every turn, then you can safely take the bet: nothing they know could give them more information than you have about the result of the coin toss. This is very similar to the difference between pseudo-random number generators (PRNGs) and sources of true randomness in a computer. There is no test you could do on the outputs of an RNG to determine if it is a (good, cryptographic-grade) PRNG or if it is a "true" RNG. However, if you're gambling based on the results of a PRNG, you should try to find out if the one you're gambling against doesn't happen to know the seed (in which case they can predict with 100% certainty what the next number will be).