Picture a Venn diagram with circles A and B. Let A be the event that the pedestrian is intoxicated, and let B be the event that the driver is not intoxicated.
The probability of A or B is the probability of their union:
P(A ∪ B) = P(A) + P(B) - P(A∩B)
=(51+257)/981 + (257+593)/981 - 257/981
=901/981
=0.9185