Does expecting to be in a safe situation elicit unsafe behavior? When the traffic light is red you are aware that a car might comes rushing in. So you are extra careful and always check the street before you actual cross the street. But one the other hand if you have green light and think you are good to go, it seems to be very likely that you just walk over the street without even taking a glance. There is still the danger of a car/cyclist, however, that may run a red light. Not looking could thus seriously be harmful. 

So to put it in a more general context. Does expecting to be in a safe situation elicit or allow unsafe behavior?
The psychology of the Jay walker or those who violate small laws (virtually unimportant to society expect when assigning blame and compensation for damages) is indeed a tricky thing. The motivational force behind the jay walking and the present awareness of the dangers of the situation often prove key to determining if the person will experience hardship as a result of their choices. That is to say the drunk or otherwise impaired will be at a higher risk of improperly crossing the street and being harmed. Then those experiencing emotional extremes are thus also likely to be biased to ignore danger. Likewise those who are otherwise sick or mentally afflicted. However the level headed person who is fully aware of the situation would have an increased probability of assuming his action is dangerous and may take more precautions. Those who fail to understand the danger of the situation though fully aware may not be as vigilant and may experience additional harm. Likewise also some drunks drive excessively slow knowing that what they are doing is wrong and dangerous but because of their impairment the amount of damage they do can still be catastrophic.