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

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Intern
Joined: 23 Sep 2007
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What is the probability that events A and B both occur? If [#permalink]  05 Mar 2008, 21:15
1
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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.

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

x = 0.2

Director
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Re: Probability [#permalink]  06 Mar 2008, 08:27
1
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Probablity of occurrence of two independent or mutually exclusive event is P(A & B) = P(A) * P(B)
Director
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Re: Probability [#permalink]  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?
Director
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Re: Probability [#permalink]  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?

VP
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Re: Probability [#permalink]  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
VP
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Re: Probability [#permalink]  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
SVP
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Re: Probability [#permalink]  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
_________________
Re: Probability   [#permalink] 06 Mar 2008, 20:19
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