Respuesta :

Answer:


Step-by-step explanation:

Recall the definition for conditional probability.

We have P(A/D) = P(A and D)/P(D)

P(AD) = 2/17

P(A) = 8/17 and P(D) = 10/17

From the definition of conditional probability,

P(A/D) = P(AD)/P(D) = 2/17 divided by 10/17 = 1/5

But P(D/A) = P(AD)/P(A) = 2/17 divided by 8/17 = 1/4

Hence the two are not equal.

This is because there is a difference in the denominators

MrRoyal

P(A|D) and P(D|A) from the table are not equal because the total number of A and D are not equal

From the table, we have the following parameters:

  • n(A) = 8
  • n(D) = 10
  • n(A and D) = 2

P(A|D) and P(D|A) are both conditional probabilities, and they are calculated using:

[tex]P(A|D) = \frac{n(A\ and\ D)}{n(D)}[/tex]

[tex]P(D|A) = \frac{n(A\ and\ D)}{n(A)}[/tex]

So, we have:

[tex]P(A|D) = \frac{2}{10}[/tex]

[tex]P(A|D) = 0.2[/tex]

[tex]P(D|A) = \frac{2}{8}[/tex]

[tex]P(D|A) = 0.25[/tex]

From the above computations, we have:

[tex]P(D|A) \ne P(A|D)[/tex]

This is so, because:

The total number of A and D are not equal

Read more about probabilities at:

https://brainly.com/question/15246027

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