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## 'Counters' printed from http://nrich.maths.org/

Ryan and Adam from Moorfield Junior School
have obviously spent some time looking at this game. They have
chosen two situations which they have broken down step by step:

If player one takes the middle counter out of the first column
then player two should take all the counters from the fourth column
(by taking the middle counter in the fourth column). Then there are
two choices. Player one will pick one of the choices then player
two will pick the other choice and player two wins.

If player one takes the middle counter in the second column then
player two will take all the counters from the fourth column (by
selecting the middle counter in the fourth column). Then there are
four choices. Player one takes one of the choices, then player two
takes another of the choices, then player one takes another of the
choices and then there is one choice left. Player two takes the
last counter and wins.

Ryan and Adam concluded that it is better
to be player two because you can take control of the game and
win.

Do you agree? What other possible moves
could player one start with? Would these be as good for player two?
If you investigate this game further, email
us your findings.