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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:
Suggested Answer: C
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35 comments · newest first
LA
Lavina
9 months ago
Wait, how can A be 60% and B be 50% with a joint of only 32%?
SH
Shay
10 months ago
I think it's B, 53.3%!
MA
Matthew
10 months ago
Joint probability is 32%, A is 60%, B is 50%.
DE
Demetra
10 months ago
Totally with you, Shay! B seems spot on!
JU
Julene
10 months ago
Sounds about right, but I'm leaning towards C.
TE
Teddy
11 months ago
I’m confused about the numbers; I thought the conditional probability would be lower than the individual probabilities.
MA
Marlon
11 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.
JA
Jamal
11 months ago
I'm not entirely sure, but I feel like I practiced a similar question where we had to find conditional probabilities.
GA
Gary
11 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).
JA
James
11 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.
SA
Sabrina
12 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.
DE
Delmy
12 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?
NO
Noe
12 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.
NI
Nichelle
1 year 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.
JA
James
1 year ago
I'm leaning towards D) 56.6%
FI
Fidelia
1 year ago
I disagree, I believe it's C) 64.0%
EL
Elli
1 year ago
I'm feeling confident about C) 64.0%. Conditional probability is my jam, baby!
VA
Vallie
9 months ago
I agree with you, Huey! C) 64.0% feels right!
LO
Lorrine
9 months ago
A) 30.0% seems too low for this.
CH
Chara
9 months ago
I'm leaning towards B) 53.3%.
HU
Huey
10 months ago
I think C) 64.0% is a solid choice!
KE
Kenneth
1 year ago
Whoa, this is tricky. I'm torn between A) 30.0% and C) 64.0%. Gotta love these probability riddles!
HI
Hildegarde
1 year ago
I agree, the conditional probability of event A given event B has occurred is 64.0%
LO
Lonny
1 year ago
I think the answer is C) 64.0%
FR
Francoise
1 year ago
I think it's C) 64.0%
LO
Lorrine
1 year ago
Haha, this is a classic probability brain-teaser! I'm gonna go with B) 53.3% - just a gut feeling, you know?
YO
Yong
1 year ago
I think the answer is B) 53.3%
AL
Alfred
1 year 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.
LI
Lilli
1 year ago
I think the answer is C) 64.0%. Conditional probability, man, that's the key here!
LE
Leontine
1 year ago
Are you sure? I'm pretty confident it's B) 53.3%.
IL
Iluminada
1 year ago
No, I believe it's actually D) 56.6%.
RO
Rodrigo
1 year ago
I think the answer is C) 64.0%.
JO
Jonelle
1 year ago
I agree with you, it's definitely D) 56.6%.
DE
Deeann
1 year ago
No, I believe it's actually D) 56.6%.
FA
Fallon
1 year ago
I'm not sure, but I think it might be B) 53.3%.