The process used to make poker chips varies slightly between manufacturers. ChipLab supplies casino chips for most of the casino in the United States with a daily production of 10,000 chips. Recently the company found that a batch of 30 chips manufactured by them contained 5 chips that do not qualify in certain features.

For monitoring the chips’ features, the company randomly selects a sample of three chips from their production line.

a. Calculate the probability that all selected chips have qualified features.

b. Compute the expected number of chips that do not qualify as they do not have all the features.

c. Compute the probability that more than half of the selected chips are not qualified in terms of features.