The probability that he receives an invitation to work in a bank given that he defends his diploma excellently is ![\mathbf{0. \overline 6}](https://tex.z-dn.net/?f=%5Cmathbf%7B0.%20%5Coverline%206%7D)
The known parameters are;
The probability that a graduate of the Faculty of Finance will defend the diploma excellently, P(A) = 0.6
The probability that he will defend perfectly and receive an invitation to work at a bank, P(A∩B) = 0.4
The unknown parameter is;
The probability that the student will receive an invitation from the bank given that the student defend the diploma excellent, ![\mathbf {P(B \ | \ A)}](https://tex.z-dn.net/?f=%5Cmathbf%20%7BP%28B%20%5C%20%7C%20%5C%20A%29%7D)
The process
is found using the conditional probability formula as follows;
![\mathbf {P(B \ | \ A) = \dfrac{P(A \cap B) }{P(A)}}](https://tex.z-dn.net/?f=%5Cmathbf%20%7BP%28B%20%5C%20%7C%20%5C%20A%29%20%3D%20%5Cdfrac%7BP%28A%20%5Ccap%20B%29%20%7D%7BP%28A%29%7D%7D)
Plugging in the values, we get;
![P(B \ | \ A) = \dfrac{0.4 }{0.6} = \dfrac{2}{3} = 0. \overline 6](https://tex.z-dn.net/?f=P%28B%20%5C%20%7C%20%5C%20A%29%20%3D%20%5Cdfrac%7B0.4%20%7D%7B0.6%7D%20%3D%20%5Cdfrac%7B2%7D%7B3%7D%20%3D%200.%20%5Coverline%206)
The probability that the student will receive an invitation from the bank given that the student defend the diploma excellent,
= ![\mathbf {0. \overline 6}](https://tex.z-dn.net/?f=%5Cmathbf%20%7B0.%20%5Coverline%206%7D)
Learn more about conditional probability here;
brainly.com/question/10567654