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

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What is the probability that events A and B both occur? If [#permalink] New post 05 Mar 2008, 21:15
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What is the probability that events A and B both occur? If the probability that event A occurs is 0.8. the probability that event B occurs is 0.6. And they are mutually inclusive.

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Re: Probability [#permalink] New post 06 Mar 2008, 01:37
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1 = 0.8+0.6-2*(x)

x = 0.2

Is the answer 0.2?
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Re: Probability [#permalink] New post 06 Mar 2008, 08:27
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Probablity of occurrence of two independent or mutually exclusive event is P(A & B) = P(A) * P(B)
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Re: Probability [#permalink] New post 06 Mar 2008, 18:11
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vshaunak@gmail.com wrote:
Probablity of occurrence of two independent or mutually exclusive event is P(A & B) = P(A) * P(B)


if A and B are mutually exclusive, they cannot be independent.

In case of mutually exclusive events P(A & B) = 0
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Re: Probability [#permalink] New post 06 Mar 2008, 17:41
vshaunak@gmail.com wrote:
Probablity of occurrence of two independent or mutually exclusive event is P(A & B) = P(A) * P(B)



But question mentions that events are "mutually inclusive", and you have mentioned the mutually exclusive!

Is this correct?
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Re: Probability [#permalink] New post 06 Mar 2008, 18:02
LM wrote:
vshaunak@gmail.com wrote:
Probablity of occurrence of two independent or mutually exclusive event is P(A & B) = P(A) * P(B)



But question mentions that events are "mutually inclusive", and you have mentioned the mutually exclusive!

Is this correct?



I misread. Thanks for noticing.
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Re: Probability [#permalink] New post 06 Mar 2008, 18:27
singaks wrote:
What is the probability that events A and B both occur? If the probability that event A occurs is 0.8. the probability that event B occurs is 0.6. And they are mutually inclusive.

Thanks



Iam assuming "mutually inclusive" means not "mutually exclusive" and independent events
Then,P(A or B) = P(A) +P(B) + P(A and B)

If A and B are independent events P (A and B) = P(A).P(B)

.8*.6 = .48
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Re: Probability [#permalink] New post 06 Mar 2008, 20:19
LM wrote:
vshaunak@gmail.com wrote:
Probablity of occurrence of two independent or mutually exclusive event is P(A & B) = P(A) * P(B)



But question mentions that events are "mutually inclusive", and you have mentioned the mutually exclusive!

Is this correct?


if the events were mutually exclusive, the prob would be different (in fact 0) but the question says mutually inclusive. i.e. they can occur togather. thefreofre, the prob = 0.8 x 0.6 = 0.48
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Re: Probability   [#permalink] 06 Mar 2008, 20:19
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