Question

The probability that a graduate of the Faculty of Finance will defend the diploma “excellent” is 0.6. The probability that he will defend his diploma “perfectly” and receive an invitation to work at the bank is 0.4. Suppose a student defends a diploma. Find the probability that he will receive an invitation to work in a bank?

Answer 1

The probability that he receives an invitation to work in a bank given that he defends his diploma excellently is $\mathbf{0. \overline 6}$

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, $\mathbf {P(B \ | \ A)}$

The process

$\mathbf{ P(B \ | \ A)}$ is found using the conditional probability formula as follows;

$\mathbf {P(B \ | \ A) = \dfrac{P(A \cap B) }{P(A)}}$

Plugging in the values, we get;

$P(B \ | \ A) = \dfrac{0.4 }{0.6} = \dfrac{2}{3} = 0. \overline 6$

The probability that the student will receive an invitation from the bank given that the student defend the diploma excellent, $P(B \ | \ A)$ = $\mathbf {0. \overline 6}$

Learn more about conditional probability here;

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