Maths Quiz: Solve the Surd Puzzle

[MathNerd]

Originally posted by bogdan
Aaaa...and for that probability problem...the first on the 3rd page...with x and y pennies...
P(x)=x/(x+y)...P(x)->the probability that the player with x pennies wins...
P(y)=y/(x+y)...P(y)->...
Proof ? Somesort of recursivity...too long to be written here...

I have infact found a method for proving the probability question using matrices and vectors, no recursivity. So I will be able to prove whether your answer is correct or not .

 

[brum]

b) FORWARD

 

[Oxymoron]

FINALLY! Brum is correct. Could you give me a reason why you chose B?

 

[hypnagogue]

Darn, my guess was E.

Oxymoron, care to explain the solution to your probability matrix problem since no one seems to be answering?

 

[KLscilevothma]

Solution to the geometry problem

construct a line through p cutting triangle ABC into 2 parts with equal areas

Since I'll be busy, so I think I better post the solution now.

1. Construct a line AD such that CD = BD. Therefore [ADC] = [ADB]
([ADC] means area of triangle ADC)

2. Draw a line to join PD

3. Construct a line AF such that AF // PD

4. Join PF

Now, [APG] = [GFD] (note that AP does not necessary equal to FD)

and [APCF] = [PBF]

The line PF is all I want.

http://www.angelfire.com/alt2/antiwork/sol.bmp