sebastianbowler
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A and B are two events.

Let P(A)=0.4 , P(B)=0.8 , and P(A and B)=0.28 .

Which statement is true?


WILL GIVE BRAINLIEST
1. A and B are not independent events because P(A∣∣B)=P(A) and P(B∣∣A)=P(B) .

2.A and B are not independent events because P(A∣∣B)≠P(A) .

3. A and B are not independent events because P(A∣∣B)=P(B) and P(B∣∣A)=P(A) .

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

Respuesta :

In order to determine if the events are independent or not we need to find the conditional probabilities.

The conditional probability of event A, given event B is denoted as P(A|B)

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

P(A*B) indicates P(A and B)

Using the values, we get:

[tex]P(A|B)= \frac{0.28}{0.8}=0.35 [/tex]

Since P(A|B) is not equal to P(A) this indicates that occurrence of event B has an impact on the occurrence of event A. This shows that the two events are dependent.

Therefore, the correct option is the second one.
2. A and B are not independent events because P(A∣∣B)≠P(A)

Answer:

Therefore, the correct option is the second one.

2. A and B are not independent events because P(A∣∣B)≠P(A)

Step-by-step explanation:

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