Question

Following a major earthquake, a team of engineers visited a city to assess whether or not buildings constructed under the new earthquake safety guidelines had fared better than older buildings. Every building in a 6-square-block downtown area was inspected, and the following results were obtained.

	New Construction	Old Construction	Total
No significant damage	18	75	93
Moderate damage	26	57	83
Severe damage	24	62	86
Total	68	194	262

One of these buildings is selected at random.

a) Find the probability that the selected building has no significant damage.

b) Find the probability that the selected building has no significant damage given that, it is of new construction

c) Find the probability that the selected building has severe damage

d) Find the probability that the selected building has severe damage, given that it is of new construction   

Answer 1