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You have 9 tennis balls. One is slightly heavier than the rest but you cannot tell by looking... or even holding. You also have a balance scale. How would you go about finding the heavy ball while usi?
Wiki User
∙ 15y ago
Answer = Maximum of three steps to find heavy ball.
Put one tennis ball aside and put the other 8 on the scale - 4 on each side.
If the scale is balanced you're done - the one you put aside is the heavy ball
If not
Remove the 4 balls on the light side of the scale. The heavy ball is one of the four still on the scale.
Spit these four in two on each side of the scale.
Remove the two on the light side of the scale.
The heavy ball is one of the two remaining balls on the scale.
Split the two remaining balls.
Your done. Solution #2 - heavier ball found in two steps: Step 1: group 9 balls in sets of 3. Reserve 3 balls(a), put 3 on each side of scale(b) and (c). Observe that heavier ball is in one of three sets, (a), (b) or (c) - either the scale side that dropped or the reserved set, if the scale balanced.
Step 2: Split the set with the heavier ball - reserve one and place one on each side of the scale. Observe that heavier ball is one of the 3 balls, - either the scale side that dropped or the reserved ball, if the scale balanced. Solved in two steps.
Wiki User
∙ 15y ago
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