Question

GTA Construction Corporation constructed two buildings near the San Andreas fault line. The probability that either of these buildings will experience an earthquake is 4.6 percent. However, if one building experiences an earthquake, the probability that the second building will experience an earthquake is 57 percent. What is the probability (in percent) that both buildings will experience earthquake damage?

IMB Computing creates motherboards for cellphones at their campuses in Seattle and San Diego. The company is worried about computer hackers and hired a consultant to evaluate their risk. The consultant estimated that the San Diego campus has a 12.1 percent chance of being hacked. The consultant also noted that the Seattle location has a 24.4 percent chance of digital hacking. IMB would asks the consultant, what is the probability (in percent) that both campuses will suffer hacking related crime in any given year?

Hishiba Company assembles hard drives and has plants in both the South and the North, spaced about 3,000 miles apart and connected by light rail. Hishiba is worried about local rain causing flooding at their plants. The probability that in any given year a flood will damage the North plant 5.1 percent. The probability that in any given year a flood will damage the South plant is 13 percent. What is the probability (in percent) that at least one of the plants will be damaged by flood in any given year?

Answer 1

1. Probability is 2.6 %. Solution is done in notebook. Follow the image.

2. Probability is 2.95 %. Solution is done in notebook. Follow the image.

3. Probability is 17.43 %. Solution is done in notebook. Follow the image.