Probability problem

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Anonymous
Probability problem 2016-06-19 21:30:27 Post No. 8152414
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Probability problem Anonymous 2016-06-19 21:30:27 Post No. 8152414 [Report]

i have to advance in probability and i'm stuck in this frustrating question.

one Student is tested in 2 tests,the probability from him to pass the first test is 65%.and the probability for him to pass both tests is 55%,and the probability for him to pass at least one test is 80%.

the part which im having trouble with is that 80% chance ,let A be the probability to pass the first test and let B be the probability to pass the second test, now from what i understood from the given is that
P(A ∩ B')+P(A' ∩ B)=80%.
is that correct?

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Anonymous 2016-06-19 21:41:37 Post No.8152444
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Anonymous 2016-06-19 21:41:37 Post No.8152444 [Report]

>>8152423
thank you i thought the same but im still having trouble finishing up my probability table ,if you know what i mean.

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Anonymous 2016-06-19 21:44:33 Post No.8152453
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Anonymous 2016-06-19 21:44:33 Post No.8152453 [Report]

>>8152423
Never mind if you don't,but can you give me your way of finding the probability for the student to pass the second test?

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Anonymous 2016-06-19 22:08:15 Post No.8152510
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Anonymous 2016-06-19 22:08:15 Post No.8152510 [Report]

>>8152414
That's incorrect. The probability for him to pass at least one test is P(A ∩ B') + P(A' ∩ B) + P(A ∩ B)

P(A ∩ B') + P(A' ∩ B) is the chance of him passing exactly one test.

The rest is simple algebra.

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Anonymous 2016-06-19 22:22:04 Post No.8152543
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Anonymous 2016-06-19 22:22:04 Post No.8152543 [Report]

>>8152510
I am triggered

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Anonymous 2016-06-19 22:32:25 Post No.8152571
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Anonymous 2016-06-19 22:32:25 Post No.8152571 [Report]

>>8152510
wow thanks bro you have no idea how much you've helped!!

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Anonymous 2016-06-19 22:32:26 Post No.8152572
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Anonymous 2016-06-19 22:32:26 Post No.8152572 [Report]

>>8152414
Aren't you missing the probability of passing both tests?
i.e. P(A ∩ B')+P(A' ∩ B)+P(A ∩ B)=80%

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Anonymous 2016-06-19 22:33:36 Post No.8152578
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Anonymous 2016-06-19 22:33:36 Post No.8152578 [Report]

>>8152572
welp, guess I should have read the thread first.
next time post in the sqt

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Anonymous 2016-06-19 22:36:19 Post No.8152590
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Anonymous 2016-06-19 22:36:19 Post No.8152590 [Report]

>>8152572
Yes i was missing that,Thanks for your help i've solved the question.

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Anonymous 2016-06-19 22:42:34 Post No.8152616
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Anonymous 2016-06-19 22:42:34 Post No.8152616 [Report]

Thank you anons OP here ,you are the only ones I've got.