Maths Puzzle :: Discussion

You have 3 bags with you – one with pink toys only, one with blue toys only and one with a mix of two colors. But, the labels on all three bags are wrong. What is the minimum number of draws you would need to make, in order to identify all three bags correctly?
Explanation :
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3, one from each bag
Draw 1 ball from each bag. You will get 2 of one colour and 1 of the other colour. Whichever bag you drew only 1 colour of, contains only that colour. Swap that label with the appropriate bag. So one bag is now correctly labelled. Since we are given that all bags are wrongly labelled at the start, it means the remaining 2 bags are still wrongly labelled (since 1 label was not touched in the swap, and we can’t have only 1 wrong label – it has to be 2 or 0 wrong). Swap their labels, and all bags are now correctly labelled.