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P(A) = .42, P(B) = .58 P(A&B) = .10. Are A and B mutually exclusive (or disjoint)?
Suggested Answer: D
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37 comments · newest first
ON
Ona
10 months ago
I’m surprised! I always thought if they had any overlap, they were exclusive.
TR
Truman
11 months ago
Nope, definitely not disjoint. The overlap proves it.
OC
Ocie
11 months ago
Wait, I thought mutually exclusive meant they couldn't overlap at all?
LY
Lyndia
11 months ago
Totally agree, they can happen at the same time!
KR
Kristin
11 months ago
They’re not mutually exclusive since P(A&B) is not zero.
TE
Teddy
12 months ago
I believe the answer is no, since P(A&B) is given as .10, but I need to double-check my notes on this.
DA
Dawne
12 months ago
I feel like I might be mixing up the definitions. If they can happen at the same time, then they shouldn't be disjoint, right?
BE
Bev
12 months ago
I remember a similar question where we had to check if the intersection was zero to determine mutual exclusivity.
AL
Alfred
1 year ago
I think A and B are not mutually exclusive because P(A&B) is not zero, but I'm not entirely sure.
CA
Carma
1 year ago
I'm pretty confident I can solve this. I just need to remember the definition of mutual exclusivity and compare the given probabilities.
DA
Dannette
1 year ago
Okay, I've got this. If A and B are mutually exclusive, then P(A&B) should be 0. Since P(A&B) = 0.10, that means A and B are not mutually exclusive.
ER
Erick
1 year ago
I'm a bit confused by the given probabilities. How do I use them to determine if A and B are mutually exclusive?
CA
Carole
1 year ago
Hmm, this looks like a classic probability problem. Let me think this through step-by-step.
EI
Eileen
1 year ago
Hmm, I'm not sure how to approach this. Maybe I should review the formulas for mutually exclusive events before answering.
RU
Ruth
1 year ago
Hmm, I'm a bit unsure about the specifics of Cisco ACI and spanning tree policies. I'll need to review my notes carefully to make sure I understand the right steps.
CH
Cherry
1 year ago
This question is making my head spin. I need a cup of coffee to clear my mind before tackling this one. *sips imaginary coffee*
SY
Sylvia
1 year ago
Let's double check the calculations before we finalize our answer.
SU
Sunshine
1 year ago
I agree, A and B are not mutually exclusive.
BR
Brynn
1 year ago
I think the answer is no.
PU
Pura
1 year ago
Wait, what if A and B are like cats and dogs? They're always at each other's throats, so they must be mutually exclusive! *laughs*
TA
Tamekia
1 year ago
Hold on, I've got this. The fact that P(A&B) = 0.10 means they are not mutually exclusive. The answer has to be B, no.
BE
Belen
1 year ago
No way, A and B can't be mutually exclusive if their individual probabilities add up to more than 1. This must be a trick question!
PA
Pamella
1 year ago
That's right, A and B are not mutually exclusive since their probabilities overlap.
PH
Phillip
1 year ago
B) no
RO
Rosita
1 year ago
No, they can't be mutually exclusive because their individual probabilities add up to more than 1.
AN
Annabelle
1 year ago
A) yes
TO
Tony
1 year ago
Hmm, the question seems a bit tricky. Let me think about this more carefully.
GA
Gayla
1 year ago
I think they are not mutually exclusive.
BE
Bernardo
1 year ago
No, they are not mutually exclusive.
CO
Colette
1 year ago
Yes, they are mutually exclusive.
DI
Dino
1 year ago
I think A and B are mutually exclusive since the probability of their intersection is only 0.10.
TH
Thea
1 year ago
I agree, the probability of their intersection being 0.10 suggests they are mutually exclusive.
AN
Annice
1 year ago
No, they are not mutually exclusive.
SH
Sheridan
1 year ago
Yes, they are mutually exclusive.
ED
Edna
2 years ago
But the probability of A and B both occurring is not zero, so they are not mutually exclusive.
DE
Delpha
2 years ago
I disagree, I don't think they are mutually exclusive.
ED
Edna
2 years ago
I think A and B are mutually exclusive.