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meriva
3 years ago
15

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

Mathematics
2 answers:
REY [17]3 years ago
5 0

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

bekas [8.4K]3 years ago
5 0

Answer:

P(A) ≠ P(D)

Step-by-step explanation:

P(A|D) = P(AD)/P(D)

P(D|A) = P(AD)/P(A)

The two denominators are not equal, so the quotients cannot be equal.

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