A factory received a shipment of 33 sprockets, and the vendor who sold the items knows there are 6 sprockets in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the sprockets in the sample are defective, he will refuse the shipment. For each of the following, give your responses as reduced fractions. If a sample of 6 sprockets is selected, find the probability that all in the sample are defective. If a sample of 6 sprockets is selected, find the probability that none in the sample are defective.

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