College Professorship ​

question 21

Short Answer

College Professorship ​
A Ph.D.graduate has applied for a job with two colleges: A and B.The graduate feels that she has a 60% chance of receiving an offer from college A and a 50% chance of receiving an offer from college B.If she receives an offer from college B,she believes that she has an 80% chance of receiving an offer from college A.Let A = receiving an offer from college A,and let B = receiving an offer from college B. ​ ​
-{College Professorship Narrative} What is the probability that at least one college will make her an offer?

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Definitions:

Expected Returns

The mean of all the likely returns for an investment or portfolio over a given period, accounting for the risk of those returns.

Portfolio

An assortment of financial assets such as equities, bonds, commodities, money, and near-money assets, encompassing both closed-end funds and exchange-traded funds (ETFs).

Coefficient Of Correlation

A statistical measure that calculates the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

Positively Correlated

A relationship between two variables in which they move in the same direction; as one increases, the other also increases.