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Databricks Certified Professional Data Scientist Exam - Topic 3 Question 86 Discussion

Actual exam question for Databricks's Databricks Certified Professional Data Scientist exam
Question #: 86
Topic #: 3
[All Databricks Certified Professional Data Scientist Questions]

Suppose A, B , and C are events. The probability of A given B , relative to P(|C), is the same as the probability of A given B and C (relative to P ). That is,

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Suggested Answer: A

From the definition, P(A,B|C) P(B|C) =P(A,B.C)/P(C) P(B.C)/P(C) =P(A,B.C)

P(B,C) =P(A|BC)

This follows from the definition of conditional probability, applied twice: P(A,B)=(PA|B)P(B)


by Isaac at Jul 14, 2025, 04:15 AM

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Elli
2 months ago
C looks wrong too, probabilities don't work that way!
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Merri
2 months ago
Definitely not A, that doesn't add up.
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Veta
3 months ago
B is interesting, but I don't think it fits the context.
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Beata
3 months ago
Wait, are we sure about this? Seems a bit off to me.
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Daron
3 months ago
I think it's option D. That makes the most sense.
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Jacklyn
3 months ago
I feel like I’ve seen a question like this before, but I’m torn between A and D. Need to think about the definitions again.
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Jame
4 months ago
I think option D might be correct since it involves the conditional probability of A given both B and C, but I'm not entirely confident.
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Ahmad
4 months ago
This seems similar to a practice question we did on Bayes' theorem, but I can't recall the exact relationships.
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Kindra
4 months ago
I remember something about conditional probabilities, but I'm not sure how to apply it here.
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Luz
4 months ago
I'm not totally sure about this one. I'll try to work it out, but I might need to come back to it if I get stuck. Gotta keep moving on the exam.
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Stephania
4 months ago
Okay, I've got this. The key is recognizing that the probability of A given B, relative to P(|C), is the same as the probability of A given B and C. I just need to match that to the right answer choice.
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Dalene
5 months ago
Hmm, I'm a bit confused by the wording here. I'll need to re-read the question and definitions a few times to make sure I understand what it's asking.
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Walker
5 months ago
This question looks tricky, but I think I can work through it step-by-step. I'll need to carefully apply the rules of conditional probability to figure out which option is correct.
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Eric
6 months ago
Option A looks suspiciously similar to the formula I have in my notes. Hmm, let me think this through.
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Tiera
6 months ago
Ah, the joys of conditional probability. Reminds me of that time I got lost in a maze of Venn diagrams.
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Alyce
5 months ago
Yes, it can definitely get confusing, especially when dealing with multiple events.
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Adria
5 months ago
I know what you mean, conditional probability can be tricky to wrap your head around.
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Matthew
6 months ago
I think I need a PhD in probability theory to even attempt this one.
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Samira
7 months ago
I'm not sure, but I think it might be C.
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Raylene
7 months ago
I disagree, I believe the answer is D.
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Michael
7 months ago
I think the answer is A.
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Antonio
8 months ago
Wait, what? This question is like a riddle wrapped in a mystery inside an enigma.
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Evangelina
7 months ago
That makes sense. It's all about conditional probabilities.
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Christiane
7 months ago
I think the answer is A) P(A,B|C) P(B|C) =P(A|B,C)
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Rebbecca
7 months ago
Don't worry, it's just a probability equation. Let's break it down.
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