Databricks Exam Databricks-Certified-Professional-Data-Scientist Topic 2 Question 63 Discussion

Actual exam question for Databricks's Databricks-Certified-Professional-Data-Scientist exam

Question #: 63
Topic #: 2

[All Databricks-Certified-Professional-Data-Scientist Questions]

Suppose there are three events then which formula must always be equal to P(E1|E2,E3)?

AP(E1,E2,E3)P(E1)/P(E2:E3)

BP(E1,E2;E3)/P(E2,E3)

CP(E1,E2|E3)P(E2|E3)P(E3)

DP(E1,E2|E3)P(E3)

EP(E1,E2,E3)P(E2)P(E3)
This is an application of conditional probability: P(E1,E2)=P(E1|E2)P(E2). so
P(E1|E2) = P(E1.E2)/P(E2)
P(E1,E2,E3)/P(E2,E3)
If the events are A and B respectively, this is said to be 'the probability of A given B'
It is commonly denoted by P(A|B): or sometimes PB(A). In case that both 'A' and 'B' are categorical variables, conditional probability table is typically used to represent the conditional probability.

Show Suggested Answer

Suggested Answer: B

by Haley at Jul 04, 2024, 01:54 PM

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Krystal

4 months ago

Actually, the correct formula is C) P(E1,E2|E3)P(E2|E3)P(E3) because it aligns with the concept of conditional probability.

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Tamie

4 months ago

Ah, good old conditional probability. You can't go wrong with B - it's the classic formula we all know and love.

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Eve

4 months ago

Haha, I bet the exam writer is trying to catch us out with some tricky wording here. But B is the clear winner, no doubt about it.

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Alline

3 months ago

No way, it's definitely B) P(E1,E2;E3)/P(E2,E3)

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Alisha

3 months ago

I think it's actually C) P(E1,E2|E3)P(E2|E3)P(E3)

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Samuel

4 months ago

I believe the correct formula is D) P(E1,E2|E3)P(E3)

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Melina

4 months ago

I agree with Lizbeth, because it involves conditional probability and makes sense in the context of the question.

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Sherell

4 months ago

Hmm, B seems like the right pick. Conditional probability is all about splitting up the joint probability, and that's exactly what B does.

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Anthony

3 months ago

B is the right pick because it represents the probability of E1 given E2 and E3. It's all about conditional probability.

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Whitney

4 months ago

Exactly, B is the formula that shows the probability of E1 given E2 and E3. It's all about conditional probability.

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Bernardo

4 months ago

Yes, B is the formula that represents P(E1|E2,E3). It's all about breaking down the joint probability.

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Von

4 months ago

I think B is the correct choice. It splits up the joint probability like conditional probability does.

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Elvera

4 months ago

B is definitely the way to go here. The question is asking for the formula that must always be equal to P(E1|E2,E3), and B is the only one that matches that.

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