Yes you should label all the balls (Chalk) to keep track on them during this test of logic. You must start with 4 balls in both pans of the weighing scale. If they do not balance you already know something vital towards solving the puzzle
The upper end pan might contain the lighter ball, or the upper or the lower pan might have contain a heavier ball. So label all the balls in the lower pan HB= (Heavy or Balanced) Then mark the balls in the upper pan LB=(light or balanced)
If the don't balance the odd ball is amongst the 4 balls put aside leading to an easy solution if this happens. But you must work through all possibilities and must not let luck be a part of your solution
Wrong. It's not particularly easy, but it's possible. Oh, and the wording would be write on steel balls. Not "in".Also, how do write in steel balls with chalk? Unless the stell is rusted i dont think you can.
It's irrelevant.How much of a weight difference are we talking about?
In some attempts people had alternatives (Non working ones I might add),
In instance if you weigh 5 and 5 and create an if statement.
If they are equal then somewhere in the other two is the odd one out, swap 1 of the 5 with one of the 2 and weigh it, If it's heavier/lighter then you've found the outcome, if not weigh the otherone.
If when weighing 5:5 is unequal.... etc.
You end up equating multiple IF's that equal a greater number of weighings.
You must start with 4 balls in both pans of the weighing scale. If they do not balance you already know something vital towards solving the puzzle
Technically to put John99's mind at rest, you wouldn't even need to write on the balls. You are merely attempting to mark the positions, so you could mark it on a sheet of paper and just keep the balls in a specific order.
No. Regardless.
You start off with a group and check for weight variation of the group.
And use successive steps to narrow that group down to one individual ball.
They do not need to be differentiated at all while ON the pan.
Not at all.You have 3 chances to weigh 12 balls. Have you forgotten that?
you need to get lucky on one of the two left off the scale. Thus game of chance and not logic. Alan even claims:
i consider a pan scale a see saw.
I think you realized that it is impossible without marking the balls because the op clearly states the ball are IDENTICAL (except for weight). Also, how do write in steel balls with chalk? Unless the stell is rusted i dont think you can.
How much of a weight difference are we talking about?
I would bet that anyone contemplating this test is thinking of the shiny steel balls. I would like to see you write on those with chalk.
http://bit.ly/96mxL2
qed.and why can't you just put the balls in different places, you don't need to mark them.
and you seem to be conflating "labelling" with physically writing on the balls. That's not necessary.