contestada

Explain why P(A|D) and P(D|A) from the table below are not equal. A 4-column table has 3 rows. The first column has entries A, B, total. The second column is labeled C with entries 6, 1, 7. The third column is labeled D with entries 2, 8, 10. The fourth column is labeled Total with entries 8, 9, 17.

Respuesta :

1tnuu

Answer: Sample Response: The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as its given event, resulting in 2/10 for a probability. P(D|A) has event A as its given event, resulting in 2/8 for a probability.

P(A|D) and P(D|A) from the table above are not equal.

What is conditional probability?

Conditional probability is the probability of one event occurring  with some respect to one or more other events .

Like, P(A|D) is called the conditional probability of A w.r.t D and P(D|A) is called the conditional probability of D w.r.t A

P(A|D) = P(D∩A)/P(D)

P(D|A) = P(A∩D)/P(A)

The table is shown up as below,        

            :  C     :   D    : Total

 → A      :  6     :    2    :   8

 → B      :  1      :    8    :   9

 →Total :  7     :    10  :  17

The conditional probability for P(A|D) = P(D∩A)/P(D)

P(A|D) = 2/10

and P(D|A) = P(A∩D)/P(A)

P(D|A) = 2/8

So, 2/10 ≠ 2/8

Thus, P(A|D) and P(D|A) from the table above are not equal.

Learn more about conditional probability.

https://brainly.com/question/11899923

#SPJ2

Otras preguntas