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

• MHB
• bzsmtp
In summary, the conversation is about a problem involving the probability of a poker player defending and the probability of each blind folding. The book provides a solution of (1-x)(1-0.03)^2 = 0.667, which leads to x = 0.291. The person attempting the problem initially got confused, but eventually understands that (1-x) = 0.7089 and therefore x = 0.2911.
bzsmtp
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 ><

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...:)

## 1. What is the equation trying to solve?

The equation (1-x)(1-0.03)^2 = 0.667 is trying to solve for the value of x that makes the equation true.

## 2. How do I solve this equation?

To solve this equation, you can use the FOIL method to expand the left side of the equation, then distribute the exponent to each term. From there, you can combine like terms and use algebraic properties to isolate x on one side of the equation.

## 3. Can this equation be solved without using algebra?

No, this equation requires algebraic manipulation to solve for x. However, you can use a calculator to find the numerical value of x once you have simplified the equation.

## 4. What are the possible solutions for x?

There may be multiple solutions for x that make the equation true. In this case, there are two possible solutions: x = 0.944 or x = -0.944.

## 5. How can I check if my solution is correct?

To check if your solution is correct, you can substitute the value of x back into the original equation and see if it makes the equation true. In this case, you can plug in x = 0.944 or x = -0.944 and see if the left side of the equation equals 0.667.

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