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A and B are two events. The notation for conditional probability is P(B|A).
Which notation is the probability of two events being not independent?

a. P(B|A) = P(A and B) / P(A)
b. P(B|A) = P(A) / P(B)
c. P(B|A) = P(B)
d. P(B|A) = P(B) / P(A)

Respuesta :

jennerfranco

Answer:

a. P(B|A) = P(A and B)/P(A)

Step-by-step explanation:

The notation for conditional probability is P(B|A) and is defined as P(B|A) = P(A and B)/P(A) when the two events are not independent. When the events are independent we have that P(B|A) = P(B) which means that the occurence of B does not depent of the occurence of A. Another way of define independence of two events is to say that P(A and B) = P(A)P(B). Therefore, the answer is a. P(B|A)=P(A and B)/P(A)

The notation is the probability of two events being not independent is a. [tex]P(B|A) = P(A\ and\ B)\div P(A)[/tex]

Given that,

  • A and B are two events.
  • The notation for conditional probability is P(B|A).

Based on the above information, the following information should be considered:

  • Since we know that the notation for conditional probability is P(B|A) and is defined as [tex]P(B|A) = P(A\ and\ B)\div P(A)[/tex].
  • At the time when the two events non-dependent.
  • Now in the case when the events are non-dependent So it is P(B|A) = P(B) that represents that the occurrence of B does not depend to the occurrence of A.

Therefore we can conclude that the notation is the probability of two events being not independent is a. [tex]P(B|A) = P(A\ and\ B)\div P(A)[/tex]

Learn more: brainly.com/question/16115373