Comment Partial answer to twelve marbles (Score 1) 1965
12 marbles, 1 balance scale, 3 chances to use the scale.
One marble is different in weight (lighter or heavier).
How do you find which one?
(more clues to answer below)
3 places to put the marbles,
Balance Scale [left side, right side] , and on the table.
3 states for the balance Scale: left side goes up, left side goes down, no movement.
The full answer is very elegant.
Very fun to write down.
Then more questions come up, like: how many trials are necessary for 13 balls? 16? 30? any random number?
One marble is different in weight (lighter or heavier).
How do you find which one?
(more clues to answer below)
3 places to put the marbles,
Balance Scale [left side, right side] , and on the table.
3 states for the balance Scale: left side goes up, left side goes down, no movement.
The full answer is very elegant.
Very fun to write down.
Then more questions come up, like: how many trials are necessary for 13 balls? 16? 30? any random number?