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

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Discussion Overview

The discussion revolves around solving the equation (1-x)(1-0.03)^2 = 0.667, which is presented in the context of a poker book. Participants explore the steps involved in arriving at the solution for x, which is stated to be 0.291.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant expresses confusion about how to solve the equation and mentions difficulty in matching the book's answer.
  • Another participant requests the original problem to provide better assistance.
  • A later reply clarifies the interpretation of the equation, explaining that (1-x) can be derived from rearranging the equation, leading to the conclusion that x = 0.2911.
  • There are expressions of relief and acknowledgment of resolution from other participants after the clarification.

Areas of Agreement / Disagreement

Participants generally agree on the steps to solve the equation after clarification, but initial confusion indicates a lack of consensus prior to the explanation.

Contextual Notes

The discussion reflects a reliance on the interpretation of the problem as presented in the poker book, and the steps taken to arrive at the solution may depend on understanding the context of the variables involved.

bzsmtp
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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...:)
 

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