A friend of mine was hit by a bike messenger last week. Miraculously, she was unharmed but her cell phone was destroyed.
I've seen pedestrians hit by cars and bikes. None of the accidents were serious - all the pedestrians got up and walked away.
The cause for many accidents are the one-way streets. Pedestrians quite wrongly assume that a one-way street means that all the traffic is running in one direction.
Often, delivery guys and messenger guys ride their bikes on the wrong side of the road. Hence the need to look in the direction traffic should be coming from, then to look in the other direction, then look again in the right direction, before crossing.
The savvy, neurotic New Yorker crosses the street unscathed!
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