1) B'NIMTZA HALOCH ACHAR HAROV
The Gemara rules that if nine frogs and one Sheretz were mixed together and a person touched one of them but did not know which one he touched, if this took place in Reshus ha'Yachid the person is Tamei. If it took place in Reshus ha'Rabim he is Tahor. If he found one of the creatures apart from the others and he touched that one, we can rely on the fact that the majority are frogs and the person is Tahor even in Reshus ha'Yachid.ANSWER:
REBBI AKIVA EIGER and RAV GUSTMAN (ZT"L) explain that there are three levels of certainty: Safek (50/50), Rov (51/49 or more), and unquestionable certainty (100%). The verse tells us that a *Safek* is Tamei in Reshus ha'Yachid, since the Torah considers a Safek Sotah to be Tamei. Since it is no longer in the category of Safek if the odds are no longer 50/50, the ruling of Safek Tum'ah b'Reshus ha'Yachid Tamei does not apply. With regard to Ma'aser Beheimah, the Torah tells us that the animal of Ma'aser must *certainly* be obligated in Ma'aser ("Asiri *Vadai* v'Lo Asiri Safek"). Therefore, when only a Rov dictates that the animal is obligated in Ma'aser, it is not considered to be *certainly* obligated and it is exempt from Ma'aser.
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