Question

Statistical Independence means - Joint Probability Equals Product of ________ Probabilities

Answer 1

Please mark me as the brainliest or click on the crown.

Answer:

The definition of statistical independence—namely, that the probability of a compound event composed of the intersection of statistically independent events is the product of the probabilities of its components—was first stated in de Moivre's Doctrine.

Answer 2

A joint probability is equal to the product of the marginal probabilities

• The likelihood that two occurrences, A and B, will occur simultaneously is known as their joint probability.
• P(A and B) or P(A B) are used to indicate it. The odds against each event happening on its own are known as the marginal probability of the two events.
• P(A) stands for the marginal probability of event A, while P(B) stands for the marginal probability of event B.
• This relationship can be noted as - p (A,B) = p(A). p(B)
• The combined probability is often not equal to the product of the marginal probabilities unless the two events are unrelated.
• The joint probability won't match the product of the marginal probabilities, though, if the occurrences are dependent on one another since the likelihood of one event occurring can influence the likelihood of the other.

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