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.

Question

Addisyn Ponce

SAT

29 December, 04:31

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.

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Johnny Doyle · Answer 1

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.

Kaitlyn · Answer 2

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

P (A|D) = 2/10

P (D|A) = 2/8

2/10 ≠ 2/8