A home construction company has determined at a home subdivision that the probability of finding unusual soil conditions is 0.15 per house site requiring blasting to excavate for a house’s foundation.

Assuming these unusual soil conditions are randomly spread out in the development and their discovery to be independent,

(a) What is the probability that unusual soil conditions will be found at the third home site attempted for the first time?

(b) What is the probability that unusual soil conditions will be found at three home sites out of 30 home sites planned for the subdivision?

(c) What is the probability that no unusual soil conditions will be found at home sites for the 30 home sites planned for the subdivision?