Respuesta :
Answer:
There is a 35.7% probability that this deal will not materialize.
Step-by-step explanation:
This problem can be solved by a simple system of equations.
-I am going to say that x is the probability that this deal materializes and y is the probability that this deal does not materialize.
The sum of all probabilities is always 100%. So
[tex]1) x + y = 100[/tex].
Bob, the proprietor of Midland Lumber, believes that the odds in favor of a business deal going through are 9 to 5.
Mathematically, this means that:
[tex]2) \frac{x}{y} = \frac{9}{5}[/tex]
We want to find the value of y. So, we can write x as a function of y in equation 2), and replace it in equation 1).
Solution:
[tex]\frac{x}{y} = \frac{9}{5}[/tex]
[tex]x = \frac{9y}{5}[/tex]
[tex]x + y = 100[/tex]
[tex]\frac{9y}{5} + y = 100[/tex]
[tex]\frac{14y}{5} = 100[/tex]
[tex]14y = 500[/tex]
[tex]y = \frac{500}{14}[/tex]
[tex]y = 35.7[/tex]
There is a 35.7% probability that this deal will not materialize.
