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# What is a generalised formula for independent events?

3 years ago

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26 Replies

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C

Christiana Schimmel

26 Answers

Ahmad
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An event A is said to be independent of another event B if the probability of occurrence of one of them is not affected by the occurrence of the other.

Mathematically, we can say the events A and B are independent if P(A and B) = P(A) x P(B)

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Manjit D
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There are 2 ways to test for independence

1) P( AnB) = P(A) x P(B)

2) P( A/B) = P(A)

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Dr S
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**P(A|B)=P(A)** **P(B|A)=P(B)**

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Nicholas Mannan

Independent events are defined as events where their probabilities won't affect each other. Therefore one formula for independent events is P(A and B) = P(A)P(B)

William N
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*P(A and B) = P(A) * P(B)*

*P(A and B)* means the probability of *A* and *B* both occurring is called a **compound event**.

*P(A)* means the probability of *A* occurring.

*P(B)* means the probability of *B* occurring.

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Gevik G
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If A and B are two independent events, then the probability of their intersection is equal to the product of the probabilities of each event, that is, P(A n B) = P(A) x P(B)

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Sibaram Behera

G

Gaddah

When A and B are 2 independent events, we have : P(A \cap B) = P(A) * P(B)

Shamim H
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Yes P(A Intersection B) = P(A) x P(B)

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Injune Hwang

The probability of the intersection of all independent events is the product of the probability of each event. In a more formal way it can be written as

Phanuel M
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P(A and B) = P(A) * P(B)

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