A factory received a shipment of 47 bolts and the vendor who sold the items knows there are 6 bolts in the shipment that are defective Before the receiving foreman accepts the delivery he samples the shipment and if too many of the bolts 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 bolts is selected find the probability that all in the sample are defective If a sample of 6 bolts is selected find the probability that none in the sample are defective