Consider an urn with 12 beads, four of each color: red, yellow and blue. Pull these beads out in pairs. What is the probability that among these six pairs, every color combination is represented?

Consider an urn with 30 beads, 10 of each color. Pull these beads out in triplets. What is the probability that every color combination is represented?

Part A:

The probability that among these six pairs, every color combination is represented is approximately 0.16623.

Part B:

The probability that every color combination is represented is approximately 0.002859.