Databricks Exam Databricks-Certified-Professional-Data-Scientist Topic 3 Question 56 Discussion

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

Question #: 56
Topic #: 3

[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 Kerry at Apr 13, 2024, 02:36 AM

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Virgilio

5 months ago

I think the answer is C) P(E1,E2|E3)P(E2|E3)P(E3), as it involves all three events E1, E2, and E3

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Kris

5 months ago

I believe the formula should be P(E1,E2,E3)/P(E2,E3) to calculate P(E1|E2,E3)

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Micheal

5 months ago

I agree with Diane, P(E1|E2) = P(E1,E2)/P(E2) is the correct formula for conditional probability

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Diane

5 months ago

I think the formula that must always be equal to P(E1|E2,E3) is P(E1|E2) = P(E1,E2)/P(E2)

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Meghann

5 months ago

So the formula is essentially P(E1,E2|E3)P(E2|E3)P(E3)

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Ceola

6 months ago

I agree, it involves conditional probability calculation

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Nicolette

6 months ago

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

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Dannie

6 months ago

What formula must always be equal to P(E1|E2,E3)?

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Paz

7 months ago

Absolutely. And you know what they say, 'practice makes perfect!' We're gonna ace this exam, guys.

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Katie

7 months ago

Haha, I bet the exam writers thought they were being really clever with this one. But now that we've worked it out, it doesn't seem too bad. Just gotta remember that conditional probability formula, right?

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Novella

7 months ago

Ooh, I see! That makes sense. The other options don't seem to capture the right relationship between the events. Nice catch!

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Oliva

7 months ago

Yeah, you're right. The formula we want is P(E1,E2,E3)/P(E2,E3), which is option B. This gives us the probability of E1 occurring, given that E2 and E3 have also occurred.

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Karl

7 months ago

Okay, let's think this through step-by-step. We have three events, E1, E2, and E3, and we're supposed to find a formula that's always equal to P(E1|E2,E3). Hmm, I think the key here is to use the definition of conditional probability.

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Kanisha

5 months ago

So basically, we need to manipulate the probabilities of E1, E2, and E3 to find the correct conditional probability

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Jodi

6 months ago

Right, we can use the formula P(E1,E2)=P(E1|E2)P(E2) to calculate conditional probability

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Kenneth

6 months ago

The formula that must always be equal to P(E1|E2,E3) is C) P(E1,E2|E3)P(E2|E3)P(E3)

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Precious

7 months ago

Wow, this conditional probability question looks quite tricky. I'm not sure I fully understand the relationship between the different events and the formula we're supposed to use.

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