For the source text click/tap here: Yoma 40
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The students asked Rebbe Akiva if the lot (goral) for the korbon laHashem came out in the kohen gadol's left hand, can he return it to his right. This question was based on it being a good omen for the goat which will be used for the chatas to emerge in his right hand. Rabbi Akiva answered that we should not leave room for the tzidukkim to ridicule us.
We explore the relationship between the two communities as applied to controversies over the Temple cult.