An investment consultant predicts that the odds against the price of a certain stock will go up during the next week are 2:1 and the odds in favour of the price remaining the same are 1:3. What is the probability that the price of the stock will go down during the next weck?
In the context of *Quantitative Analysis for Managerial Applications*, understanding probability based on odds is an important skill, especially when making investment or business decisions under uncertainty. The problem provides information about the odds concerning the possible changes in the price of a stock. Specifically, it provides the odds against the price going up and the odds in favour of the price remaining the same. From this, we are required to find the probability that the price of the stock will go down during the next week.
Let us first define the events:
* Event A: Stock price goes up
* Event B: Stock price remains the same
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