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:

A30.0%

B53.3%

C64.0%

D56.6%

Show Suggested Answer

Suggested Answer: C

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

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Lavina

2 months ago

Wait, how can A be 60% and B be 50% with a joint of only 32%?

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Shay

2 months ago

I think it's B, 53.3%!

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Matthew

2 months ago

Joint probability is 32%, A is 60%, B is 50%.

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Demetra

3 months ago

Totally with you, Shay! B seems spot on!

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Julene

3 months ago

Sounds about right, but I'm leaning towards C.

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Teddy

3 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

3 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

4 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

4 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

4 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

4 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

4 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

4 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

5 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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