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There-are-40-oranges-20-apples-and-20-lemons-in-a-bag-What-is-the-minimum-number-of-fruits-that-you-have-to-take-out-of-the-bag-with-your-eyes-closed-before-you-are-sure-that-one-of-them-is-an




Question Number 160090 by abdullah_ff last updated on 24/Nov/21
There are 40 oranges, 20 apples, and   20 lemons in a bag. What is the   minimum number of fruits that you   have to take out of the bag with your   eyes closed before you are sure that   one of them is an orange?
$$\mathrm{There}\:\mathrm{are}\:\mathrm{40}\:\mathrm{oranges},\:\mathrm{20}\:\mathrm{apples},\:\mathrm{and}\: \\ $$$$\mathrm{20}\:\mathrm{lemons}\:\mathrm{in}\:\mathrm{a}\:\mathrm{bag}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\: \\ $$$$\mathrm{minimum}\:\mathrm{number}\:\mathrm{of}\:\mathrm{fruits}\:\mathrm{that}\:\mathrm{you}\: \\ $$$$\mathrm{have}\:\mathrm{to}\:\mathrm{take}\:\mathrm{out}\:\mathrm{of}\:\mathrm{the}\:\mathrm{bag}\:\mathrm{with}\:\mathrm{your}\: \\ $$$$\mathrm{eyes}\:\mathrm{closed}\:\mathrm{before}\:\mathrm{you}\:\mathrm{are}\:\mathrm{sure}\:\mathrm{that}\: \\ $$$$\mathrm{one}\:\mathrm{of}\:\mathrm{them}\:\mathrm{is}\:\mathrm{an}\:\mathrm{orange}? \\ $$
Commented by mr W last updated on 24/Nov/21
if you only take 40 fruits out of the  bag, they can be 20 apples and 20  lemons, no orange. but if you take  one more, i.e. totally 41 fruits, then  at least one of them is orange. so  you should take at least 41 fruits to  be sure that one of them is orange.
$${if}\:{you}\:{only}\:{take}\:\mathrm{40}\:{fruits}\:{out}\:{of}\:{the} \\ $$$${bag},\:{they}\:{can}\:{be}\:\mathrm{20}\:{apples}\:{and}\:\mathrm{20} \\ $$$${lemons},\:{no}\:{orange}.\:{but}\:{if}\:{you}\:{take} \\ $$$${one}\:{more},\:{i}.{e}.\:{totally}\:\mathrm{41}\:{fruits},\:{then} \\ $$$${at}\:{least}\:{one}\:{of}\:{them}\:{is}\:{orange}.\:{so} \\ $$$${you}\:{should}\:{take}\:{at}\:{least}\:\mathrm{41}\:{fruits}\:{to} \\ $$$${be}\:{sure}\:{that}\:{one}\:{of}\:{them}\:{is}\:{orange}. \\ $$
Commented by abdullah_ff last updated on 24/Nov/21
thank you sir.   sorry for this kind of post. this post  was really for primary level.
$$\mathrm{thank}\:\mathrm{you}\:\mathrm{sir}.\: \\ $$$${sorry}\:{for}\:{this}\:{kind}\:{of}\:{post}.\:{this}\:{post} \\ $$$${was}\:{really}\:{for}\:{primary}\:{level}. \\ $$

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