A medical survey was conducted in order to establish the proportion of the population which was infected with cancer. The results indicated that 40% of the population was suffering from the disease. A sample of 6 people was later taken and examined for the disease. Find the probability that the following outcomes were observed:

Only one person had the disease (4 mks)
Exactly two people had the disease (4 mks)
At most two people had the disease (4 mks)
At least two people had the disease (4 mks)
Three or four people had the disease (4 mks)