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the letter. - Hakirah.org

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30 : Hạkirah, The Flatbush Journal of Jewish Law and Thought<br />

<strong>the</strong> case of 2 bro<strong>the</strong>rs (i.e., 50%<br />

chance of having no yebum marriage<br />

using <strong>the</strong> Mishna’s approach<br />

vs. 100% chance of getting<br />

one match using Gemara’s<br />

approach).<br />

Do <strong>the</strong>se numbers, however,<br />

justify <strong>the</strong> Aruch LaNer’s extension<br />

(i.e., <strong>the</strong> difference in probability<br />

for not getting a single<br />

match in cases 3 to 5 are almost<br />

identical)<br />

<br />

Probability Table<br />

Number of Bro<strong>the</strong>rs<br />

Matches 2 3 4 5<br />

0 0.50000 0.33333 0.37500 0.36667<br />

1 0 0.50000 0.33333 0.37500<br />

2 0.50000 0 0.25000 0.16667<br />

3 0.1667 0 0.08333<br />

4 0.04167 0<br />

5 0.00833

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