Consider a batch of 30 devices out of which 10 devices are defective (D). The batch is inspected by choosing randomly a sample of 5 devices (the 5...

Consider a batch of 30 devices out of which 10 devices are defective (D). The batch is inspected by choosing randomly a sample of 5 devices (the 5 items are taken at the same time).

1- How many different samples (of five devices) are possible?

2-How many sample of five devices contain exactly one defective device?

3-How many sample of five devices contain at least one defective device?

4-What is the probability to select a sample containing only one defective device?

5-What is the probability to select a sample that has no defective device?