An underground site is being considered for the storage of hazardous waste. Within the next 100 years, there is a 1% chance that the hazardous material could leak outside of the storage containment. Two adjacent towns, A and B, rely on ground water for their water supply. The water to each town will be contaminated if there is a leakage in the waste storage and if there is also a continuous seam of sand between the storage containment and the given town. This is because the presence of a continuous seam of sand would allow the contaminant to move freely and quickly compared to clay or other soils. Suppose there is a 5% chance of a continuous seam of sand from the storage site to A, and the probability of a continuous seam of sand to B is slightly higher and equals 896. However, if a continuous seam of sand exists between X and A, the probability of a continuous seam of sand between X and B increases to 30%. Assume that the event if leakage from storage is independent of the presence of seams of sand. Consider the period over the next 100 years.

Required:
a. What is the probability that water in town A will be contaminated?
b. What is the probability that water in at least one of the two towns will be contaminated?