Question

Which statement is true about whether A and B are

independent events?

A and B are independent events because P(AIB) = P(A).

A and B are independent events because P(AIB) = P(B).

A and B are not independent events because P(AIB)

*P(A).

A and B are not independent events because P(AIB)

PIB)

Answer 1

Answer:

A and B are independent events because P(AIB) = P(A).

Step-by-step explanation:

got it right on edge

Answer 2

The statement is true about A and B as independent events are that A and B are independent events because P(AIB) = P(A).

What is Bayes' theorem?

The conditional probability of an event depending on the occurrence of another event is equal to the likelihood of the second event given the first event multiplied by the probability of the first event, according to Bayes' Theorem.

Suppose that there are two events A and B. Then suppose the conditional probability is:

P(A|B) = probability of occurrence of A given B has already occurred.

P(B|A) = probability of occurrence of B given A has already occurred.

Then, according to Bayes' theorem, we have:

$\rm P(A|B) = \dfrac{P(B|A)P(A)}{P(B)}$

(assuming the P(B) is not 0)

For two independent events, the intersection of the two events is equal to the product of the two events. Therefore,

P(A∩B) = P(A)·P(B)

Similarly, using the chain rule, for independent events, we can write,

P(A|B) = P(A)

P(B|A) = P(B)

Hence, the statement is true about A and B as independent events are that A and B are independent events because P(AIB) = P(A).

Learn more about Bayes' Theorem:

https://brainly.com/question/17010130

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