A distribution with two possible outcomes from independent trials is known as?

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The concept of a distribution with two possible outcomes from independent trials refers specifically to the binomial distribution. This distribution is used in scenarios where there are fixed numbers of trials, each trial has two possible outcomes often termed as "success" and "failure", and the probability of success remains constant across trials.

In a binomial experiment, you calculate the probability of having a certain number of successes in the trials, which is a hallmark characteristic of this type of distribution. For example, flipping a coin multiple times (where getting heads might be considered a success and tails a failure) is a classic application of binomial distribution.

The normal distribution is a continuous probability distribution that is seen frequently in statistics but does not fit the criteria of having only two possible outcomes. Uniform distribution describes situations where all outcomes are equally likely, which also does not align with the definition of two distinct outcomes from independent trials. Normal approximation refers to the technique used to approximate the binomial distribution under certain conditions when the number of trials is large, but it itself is not a distribution characteristic of having two outcomes. Therefore, the binomial distribution is the precise term that captures the scenario presented in the question.

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