What is the key word that indictes that the Addition Rule for Probabilities will be used?

Cohen Ritter

Cohen Ritter

Answered question

2022-10-20

What is the key word that indictes that the Addition Rule for Probabilities will be used?

Answer & Explanation

giosgi5

giosgi5

Beginner2022-10-21Added 15 answers

The key word for events with probabilities that can be added is mutually exclusive.
If two events, A and B, are mutually exclusive, the probability of either one or another to happen equal to a sum their probabilities (notice different symbols used to describe logical condition or: P ( A or B ) = P ( A + B ) = P ( A B ) = P ( A ) + P ( B )
An explanation and intuitive justification of this rule is a similarity of a concept of probability and a concept of an area of a flat figure on a plane. Mutually exclusive events are similar to two figures on a plane that do not have any points in common. Then it's obvious that the area of both figures (the probability of one event or another) equals to a sum of areas of these two figures (equals to a sum of probabilities of individual events).

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