Hello can you please help me build a probability table for the following problem
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%.
I've figured out so far from the question:
let A be the probability to pass the first test and let B be the probability to pass the second test
p(A)=0.65
p(A')=0.35
P(A ∩ B)=0.55
P(A ∩ B')+P(A' ∩ B)=80%.
need directions on how to find P(A' ∩ B) and P(A' ∩ B')
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%.
I've figured out so far from the question:
let A be the probability to pass the first test and let B be the probability to pass the second test
p(A)=0.65
p(A')=0.35
P(A ∩ B)=0.55
P(A ∩ B')+P(A' ∩ B)=80%.
need directions on how to find P(A' ∩ B) and P(A' ∩ B')