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Betsy buys antique vases at auction. Thirty-five percent of the time, the vase turns out to be a fake. If Betsy purchases one vase at

Betsy buys antique vases at auction. Thirty-five percent of the time, the vase turns out to be a fake. If Betsy purchases one vase at each of 11 auctions, what is probability of getting at least 4 fakes?

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