The Addition Rule Of Probability: The Probability Of Mutually Exclusive Events

Probability Rule A

Any probability is a number between 0 and 1Any proportion/probability is a number between 0 and 1An event with probability 0 never occursAn event with probability 1 occurs every timeAn event with probability 0.5 occurs in half the trials in the long run

Probability Rule A is also known as the Addition Rule of Probability. It states that the probability of the occurrence of either of two mutually exclusive events is equal to the sum of their individual probabilities.

Mathematically, this can be expressed as:

P(A or B) = P(A) + P(B)

Where P(A or B) is the probability of either event A or event B occurring, and P(A) and P(B) are the individual probabilities of each event occurring.

Mutually exclusive events are events that cannot occur simultaneously. For example, if we flip a coin, we can get either heads or tails, but we cannot get both at the same time.

To apply the Addition Rule of Probability, we need to ensure that the events are mutually exclusive. If they are not, then we need to use the General Addition Rule which takes into account the overlap between the events.

Overall, the Addition Rule of Probability is a fundamental concept in probability theory and is used to calculate the probability of events in various real-world scenarios.

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