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

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Senior Manager
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What is the probability that events A and B both occur? [#permalink]

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15 May 2004, 16:10
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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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Joined: 15 Dec 2003
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15 May 2004, 18:52
C - You need both statements to find the green area
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Paul

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15 May 2004, 19:20
yes it is, but we are interested in knowing that we need both statements to find the answer
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Paul

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15 May 2004, 23:06
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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15 May 2004, 23:43
Yes Emmanuel, you are right. Totally overlooked that one. Are you ever wrong?
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Paul

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Re: What is the probability that events A and B both occur? 1) [#permalink]

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10 Jan 2012, 07:07

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Re: What is the probability that events A and B both occur? 1) [#permalink]

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10 Jan 2012, 13:20
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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]

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17 Jan 2012, 21:44
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.

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Re: What is the probability that events A and B both occur? 1)   [#permalink] 17 Jan 2012, 21:44
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