Goodness, I hope your stomach has settled by now! LOL
a). The probability of getting an A in both courses
is P(A ∩ B) = P(A)*P(B) = 0.6*0.8 = 0.48.
Of course, this assumes that A and B are independent
events, i.e., that the outcome of one has no influence
on the outcome of the other. We really, don't know
this here, do we?
b). P(not A ∩ not B) = 1 - P(AUB) = 1 - 0.9 = 0.1.
2007-05-10 09:23:58
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answer #1
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answered by steiner1745 7
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I find it amazing that four different posters have glibly assumed that A={rick gets an A in english} and B={rick gets an A in math} are independent events, when the stipulated fact that P(AâªB)=.9 â 1-(1-P(A))*(1-P(B)) = .92, proves that the events are not independent.
The key here is to note that AâªB is the disjoint union of Aâ©B, A\B, and B\A. So P(AâªB) = P(Aâ©B) + P(A\B) + P(B\A). Also, A is the disjoint union of Aâ©B and A\B, and B is the disjoint union of Aâ©B and B\A, so P(A)+P(B) = P(Aâ©B) + P(A\B) + P(Aâ©B) + P(B\A) = P(AâªB) + P(Aâ©B). Therefore, P(Aâ©B) = P(A) + P(B) - P(AâªB) = .6 + .8 - .9 = .5, not .48.
For part B, of course, the probability that he gets an A in neither course is simply 1-P(AâªB) = 1-.9 = .1 .
2007-05-10 16:46:48
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answer #2
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answered by Pascal 7
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Since the probability of getting an A in both english and Math are 0.6 and 0.8 repesctively. In order to get the probability of both being an A you have to times them together therefore 0.6x0.8=0.48.
The probability of not getting an A in either class depends on the probability of getting an A in one of those classes which is 0.9. This means that the probability of NOT is 1-0.9=0.1
2007-05-10 16:09:57
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answer #3
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answered by Matthew A 1
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he has a 60% chance of getting an A in math, and if he does that, he then still has an 80% chance at english, so 60% x 80% or .6 x .8 = .48 or 48%
if he has a 90% chance of getting an A, he only has a 10% chance of not getting an A, so 0.1
2007-05-10 16:10:24
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answer #4
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answered by Tom B 4
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A) (0.6)(0.8)=0.48 Chance.
b)since there a 0.9 chance he will get an A in either, there's a 0.1 chance he won't get an A in both.
It's not really a vomit inducing question.
2007-05-10 16:08:18
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answer #5
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answered by Brian R 2
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learn how to spell and maybe someone will make a good answer for you
2007-05-10 16:22:08
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answer #6
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answered by Nebraska Fan 2
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a. 0.48
b. 0.1
2007-05-10 16:04:37
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answer #7
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answered by Anonymous
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