A warehouse stores a large quantity of network cables: 60% of these cables have diameter 8mm, 20% have diameter 4mm. A sample of 10 cables is picked at random (because of the large number of cables stored, you can assume that the distribution of cable diameters (60-20-20) remains constant as the sample is picked). Answer the following:

i) What is the probability that the sample contains 5 cables with diameter 4mm?

ii) What is the probability that the sample contains 2 cables or more with diameter 4mm?

iii) What is the probability that the sample contains cables of only one diameter?