Equally Likely Outcomes: A Fundamental Concept In Probability Theory

Equally likely outcomes

Events with the same probability

The concept of equally likely outcomes is a fundamental concept in probability theory. An event is said to have equally likely outcomes when each possible outcome of the event has the same likelihood of occurrence. In other words, if there are n possible outcomes, each outcome has a probability of 1/n of occurring.

For example, consider the rolling of a fair six-sided die. Each of the six faces (outcomes) has an equal chance of being rolled. Therefore, each outcome has a probability of 1/6 of occurring, and the event of rolling any particular number has an equal likelihood of occurring.

Similarly, tossing a fair coin has two equally likely outcomes: heads and tails. Each has a probability of 1/2 of occurring, and therefore, the event of getting heads or tails is equally probable.

It is important to note that the assumption of equally likely outcomes is not always valid in real-life situations. For instance, in a game of poker, the likelihood of getting a particular hand is not equally likely since some hands are rarer than others.

In conclusion, equally likely outcomes is a basic concept in probability theory which assumes that each possible outcome of an event has the same probability of occurrence.

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