The probabilities in the cells of a two-way table are conditional probabilities. True or false?.

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jdolly3755 jdolly3755

25-02-2022
Mathematics

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The probabilities in the cells of a two-way table are conditional probabilities. True or false?.

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joaobezerra joaobezerra · Answer 1 · 2022-02-28T13:08:28+01:00

Using the conditional probability concept, it is found that the statement is true, as in a two-way probability table, we find the probability of each event B considering that each event A has happened.

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem, considering the definition of conditional probability given above, the statement is true, as in a two-way probability table, we find the probability of each event B considering that each event A has happened.

More can be learned about conditional probability at https://brainly.com/question/14398287