Independent distribution

Independent distribution refers to a situation where the outcome of one event does not influence or affect the outcome of another. For example, flipping a coin and rolling a die are independent events because the result of the coin flip doesn't change the chances of rolling a specific number on the die. In probability, this means the likelihood of both events happening together is the product of their individual probabilities. Understanding independence helps in analyzing complex systems where multiple separate factors are involved without interference, making predictions and calculations more straightforward.