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What is the probability that events A and B both occur?

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What is the probability that events A and B both occur? [#permalink] New post 15 May 2004, 15:10
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A
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C
D
E

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What is the probability that events A and B both occur?
1) The probability that event A occurs is 0.8
2) The probability that event B occurs is 0.6
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 [#permalink] New post 15 May 2004, 17:52
C - You need both statements to find the green area
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 [#permalink] New post 15 May 2004, 18:20
yes it is, but we are interested in knowing that we need both statements to find the answer
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 [#permalink] New post 15 May 2004, 22:06
Paul wrote:
yes it is, but we are interested in knowing that we need both statements to find the answer


No, people, the question ASKED can't be answered given the data in BOTH proposals. We don't actually know if A and B ARE INDEPENDENT. If A and B ARE, then the prob. of P(AnB) = P(A)*P(B) = 0.48. But neither of the statements does not say anything about INDEPENDENCE.
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 [#permalink] New post 15 May 2004, 22:43
Yes Emmanuel, you are right. Totally overlooked that one. Are you ever wrong? :wink:
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Re: What is the probability that events A and B both occur? 1) [#permalink] New post 10 Jan 2012, 06:07
How can the question be formulated?
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Re: What is the probability that events A and B both occur? 1) [#permalink] New post 10 Jan 2012, 12:20
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My pick is E. Are A and B mutually exclusive, nothing is specified here.

1. P(A)=0.8. Insuff
2. P(B)=0.6. Insuff

Together, P(A&B)= P(A)+P(B)-P(A|B). No info on P(A|B). So, insuff. E
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Re: What is the probability that events A and B both occur? 1) [#permalink] New post 17 Jan 2012, 20:44
What is the probability that events A and B both occur?
1) The probability that event A occurs is 0.8
-not sufficient

2) The probability that event B occurs is 0.6
-not sufficient

1 + 2


We don't know whether events are dependent or independent. Insufficient.
Re: What is the probability that events A and B both occur? 1)   [#permalink] 17 Jan 2012, 20:44
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