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American Bankers Association CTFA Exam - Topic 4 Question 93 Discussion

The joint probability of events A and B is 32 percent with the probability of event A being 60 percent and the probability of event B being 50 percent. Based on this information, the conditional probability of event A given event B has occurred is closest to:
C) 64.0%
A) 30.0%
B) 53.3%
D) 56.6%

American Bankers Association CTFA Exam - Topic 4 Question 93 Discussion

Actual exam question for American Bankers Association's CTFA exam
Question #: 93
Topic #: 4
[All CTFA Questions]

The joint probability of events A and B is 32 percent with the probability of event A being 60 percent and the probability of event B being 50 percent. Based on this information, the conditional probability of event A given event B has occurred is closest to:

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Suggested Answer: C

by Raina at Jul 31, 2025, 05:18 PM

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Lavina
6 months ago
Wait, how can A be 60% and B be 50% with a joint of only 32%?
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Shay
7 months ago
I think it's B, 53.3%!
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Matthew
7 months ago
Joint probability is 32%, A is 60%, B is 50%.
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Demetra
7 months ago
Totally with you, Shay! B seems spot on!
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Julene
7 months ago
Sounds about right, but I'm leaning towards C.
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Teddy
8 months ago
I’m confused about the numbers; I thought the conditional probability would be lower than the individual probabilities.
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Marlon
8 months ago
If the joint probability is 32% and P(B) is 50%, then I guess P(A|B) should be around 64% based on my calculations.
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Jamal
8 months ago
I'm not entirely sure, but I feel like I practiced a similar question where we had to find conditional probabilities.
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Gary
8 months ago
I think I remember that the conditional probability can be calculated using the formula P(A|B) = P(A and B) / P(B).
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James
8 months ago
Okay, I'm feeling more confident now. I'll start by calculating the joint probability of A and B, then use that to find the conditional probability of A given B.
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Sabrina
9 months ago
I think I've got it! The key is to use the given information to calculate the conditional probability. Let me work this out step-by-step.
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Delmy
9 months ago
I'm a bit confused on how to approach this. Can someone walk me through the logic of solving this type of problem?
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Noe
9 months ago
Hmm, this looks like a classic conditional probability problem. I'll need to use the formula P(A|B) = P(A and B) / P(B) to solve this.
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Nichelle
9 months ago
Okay, let's think this through step-by-step. We have the joint probability of A and B, and the individual probabilities of A and B. We need to find the conditional probability of A given B.
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James
10 months ago
I'm leaning towards D) 56.6%
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Fidelia
10 months ago
I disagree, I believe it's C) 64.0%
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Elli
10 months ago
I'm feeling confident about C) 64.0%. Conditional probability is my jam, baby!
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Vallie
6 months ago
I agree with you, Huey! C) 64.0% feels right!
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Lorrine
6 months ago
A) 30.0% seems too low for this.
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Chara
6 months ago
I'm leaning towards B) 53.3%.
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Huey
7 months ago
I think C) 64.0% is a solid choice!
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Kenneth
11 months ago
Whoa, this is tricky. I'm torn between A) 30.0% and C) 64.0%. Gotta love these probability riddles!
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Hildegarde
10 months ago
I agree, the conditional probability of event A given event B has occurred is 64.0%
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Lonny
10 months ago
I think the answer is C) 64.0%
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Francoise
10 months ago
I think it's C) 64.0%
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Lorrine
11 months ago
Haha, this is a classic probability brain-teaser! I'm gonna go with B) 53.3% - just a gut feeling, you know?
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Yong
11 months ago
I think the answer is B) 53.3%
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Alfred
11 months ago
D) 56.6% seems more reasonable to me. The question gives us the joint probability and the individual probabilities, so we can work this out.
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Lilli
11 months ago
I think the answer is C) 64.0%. Conditional probability, man, that's the key here!
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Leontine
10 months ago
Are you sure? I'm pretty confident it's B) 53.3%.
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Iluminada
11 months ago
No, I believe it's actually D) 56.6%.
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Rodrigo
11 months ago
I think the answer is C) 64.0%.
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Jonelle
11 months ago
I agree with you, it's definitely D) 56.6%.
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Deeann
11 months ago
No, I believe it's actually D) 56.6%.
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Fallon
11 months ago
I'm not sure, but I think it might be B) 53.3%.
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