MHB Simple algebra solve (1-x)(1-0.03)^2 = 0.667

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The discussion revolves around solving the equation (1-x)(1-0.03)^2 = 0.667, which is part of a poker book's probability analysis. Initially, the user struggled to reach the answer of x = 0.291. After some confusion, they realized that rearranging the equation allows them to isolate x, leading to the correct calculation. The solution involves understanding that (1-x) can be expressed as 0.667 divided by (1-0.03)^2. Ultimately, the user successfully solved the problem and expressed gratitude for the assistance.
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I am following a book and can't arrive at the same answer. Not sure what to try next.

(1-x)(1-0.03)^2

the book then says = 0.667
x= 0.291

my attempt
(1-x)(1 - .03)(1 - .03)

then i get confused
(1-x)(0.9409)

not sure ><
 
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Hello, and welcome to MHB! (Wave)

Can you post the original problem in its entirety?
 
MarkFL said:
Hello, and welcome to MHB! (Wave)

Can you post the original problem in its entirety?

its a poker book. it says
x is the probability that the original raiser defends, and 1-0.03 is the probability that each blind folds.

then just writes

(1-x)(1-0.03)^2 = 0.667 therefore x = 0.291

- - - Updated - - -

ooooooo i get it

(1-x)(1-0.03)^2 = 0.667 means (1-x)=0.667/(1-0.03)^2=0.667/0.97^2=0.7089 so x=1-0.70289=0.2911

can delete thread now thank you
 
Glad you got it squared away. :)
 
MarkFL said:
Glad you got it squared away. :)
Don't you be no square...:)
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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