A shelf in the Metro Department Store contains 90 colored ink cartridges for a popular ink-jet printer. Six of the cartridges are defective. (a) If a customer selects 2 cartridges at random from the shelf, what is the probability that both are defective?

A shelf in the Metro Department Store contains 90 colored ink cartridges for a popular ink-jet printer. Six of the cartridges are defective.

(a) If a customer selects 2 cartridges at random from the shelf, what is the probability that both are defective? (Round your answer to five decimal places.)

(b) If a customer selects 2 cartridges at random from the shelf, what is the probability that at least 1 is defective? (Round your answer to three decimal places.)