Databricks Certified Professional Data Scientist Exam - Topic 4 Question 28 Discussion

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

Question #: 28
Topic #: 4

[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 Lenna at Aug 01, 2022, 02:31 PM

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Yvonne

4 months ago

C looks interesting too, but I think B is still the best choice.

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Carin

4 months ago

I didn't know conditional probability could be this tricky!

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Leonard

4 months ago

Wait, are we sure about that? I thought it could be A.

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Louisa

4 months ago

I agree, B makes the most sense here.

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Tonette

4 months ago

It's definitely B! That's the right formula.

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Owen

5 months ago

I believe the correct answer is D, but I can't quite recall how to derive it from the definitions we studied.

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Anthony

5 months ago

I'm a bit confused about the differences between the options. I feel like I need to review how to apply the chain rule for probabilities.

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Vince

5 months ago

I remember practicing similar questions, and I think the formula for conditional probability is key here. Maybe it's A?

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Ronny

5 months ago

I think the answer might be B, but I'm not entirely sure if I remember the conditional probability rules correctly.

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Krissy

5 months ago

Hmm, I'm not sure about this one. The filtering options seem a bit tricky to interpret. I'll need to read through them carefully.

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Rima

5 months ago

I'm a bit confused on the best approach here. The scenario mentions that the chain has a mature EA practice and uses TOGAF, so I'm not sure if we should just jump straight to defining the target architecture or if we need to do more baseline assessment first. I'll have to think this through carefully.

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Nadine

5 months ago

Okay, let me think this through. I'm pretty sure the answer is D - A risk probability-impact matrix. That gives you a quick visual way to assess the probability and impact of each risk, which is what the question is asking for.

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