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A "miut hamatzui" is a phrased used to express a case where because of a small concern that something exists, or might happened, or does happen that the halacha is affected by this. An example is if there is a certain type of "treifah" by a kosher animal that is found in a small amount therefore this must be checked after that animal is shechted.

However what is the amount of a "miut hamatzui"? What are the different opinions in this?

(I don't feel my explanation of a "miut hamaztui" is adequate enough however it's difficult for me to express in English. Perhaps someone can edit it.)

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related judaism.stackexchange.com/a/11570/759 –  Double AA Apr 11 '13 at 20:59
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@DoubleAA thanks. But, makor? (aside from R' Shechter) –  Yehoshua Apr 11 '13 at 21:21
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@Yehoshua The generally cited mekor is the Mishk'nos Ya'akov (Vol. 1, YD § 17). –  Fred Apr 11 '13 at 22:34
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@Fred Sounds like an answer. However any other opinions, b'frat from earlier sources? –  Yehoshua Apr 11 '13 at 22:48
    
It would be interesting to compare this to the pyschological studies on the same topic. –  avi Dec 23 '13 at 13:27

3 Answers 3

Miut Hamatui has four opinions as brought down in the new Yalkut Yosef.

1) Rav Shelomo Zalman Aurbach who holds it is around 10%.

2) Shevet HaLevi who holds it is even less but doesn't specify.

3) Rav Bension Aba Shaul who says around 17%.

4) The opinion of the Rivash and Hacham Yishak Yosef Shelit"a who hold that it is much closer to 50% but doesn't specify.

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Welcome to Mi Yodeya. Nice answer. –  Bruce James Dec 22 '13 at 19:07
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Do you have the sources for all of these statements? –  Yehoshua Dec 22 '13 at 19:46
    
50%? We know cow lungs aren't that bad –  Double AA Dec 22 '13 at 20:55
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I'm pretty sure Shevet Halevi (4:81, 8:180) specifically says that there is not a hard-and-fast percentage that defines the dependability of a mi'ut. –  WAF Dec 23 '13 at 1:46
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Are you the same person as judaism.stackexchange.com/users/1035/hacham-gabriel? If so, you may want to look into unifying this new account with the original, registered account. –  Isaac Moses Dec 23 '13 at 15:50

Rav Eitam Henkin provides sources for all the various opinions on pages 39-62 of this kuntres.

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please summarize the points incase the link goes bad. –  avi Dec 23 '13 at 15:06
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Welcome to Mi Yodeya, and thanks very much for sharing this source! As @avi notes, your answer will be much more valuable if you edit in a summary of the pertinent points from the work you reference, per our quotation guideline. Please consider registering your account, which will give you access to more of the site's features. While you're at it please edit your account to give yourself a name! –  Isaac Moses Dec 23 '13 at 15:44

Many poskim put it at 10% -- thank you Fred, Mishkenos Yaakov 1:YD17 first puts it that way. (See Rabbi JD Bleich's "Is the Milk We Drink Kosher?" in Tradition). This is the general OU opinion.

We find the figure of 10% by combining a law in Terumot -- about whether you must check that a bottle of wine in the case has spoiled before taking terumah from the batch -- with a law in Bava Basra -- about 10% being the normal spoilage rate when selling a case of wine.

The next question becomes -- 10% of what? Do I say "so long as the odds of eating a bug is <10% in this serving of lettuce, I can eat this serving"? Or perhaps we need "so long as the odds of finding a bug in this bag is <10%, I can buy this bag"? Or perhaps we even need "I can buy this case of lettuce without checking only if the odds of finding a bug anywhere in it are <10%"?

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