Most Houston personal injury attorneys will handle your lawsuit on a contingency fee basis. Under a contingency fee agreement, you don’t have to pay anything on the front end for legal representation. Instead, all legal fees will be taken directly from your verdict award or settlement. The average legal contingency fee is 33 percent. However, if your case isn’t successful (i.e., if you don’t recover any compensation for your accident), you won’t owe your attorney anything. Therefore, when you hire a personal injury attorney to handle your pedestrian accident case, you take on no financial risk.