Question

Explain why P(A|D) and P(D|A) from the table below are not equal.

Answer 1

because they are in different positions which make them different answers/number

Answer 2

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.

Other part is:

different given events

P(A|D) equals 2/10

P(D|A) equals 2/8