I like to perform for people a lot when I go out so believe me when I say that
EVERY MAGICIAN GETS TURNED DOWN. Yes, everyone. Even professionals so don't get discouraged if you get turned down on your first attempt. There are some factors that play into whether or not you get rejected.
Where were you?
If you aren't in a very social and open place, then that person most likely will reject you. Pick a location like a mall or something
How many people?
People don't like to be greeted by a stranger asking to "show them something" when they're alone. Instead, pick a group of people who look like they're having a good time. And look for that key age group: 14- low 20s. People in this age group will be more open to the idea of a magician.
Introduction:
This is the most important part. Depending on how you introduce yourself, people will either be creeped out or open to the experience. In real life, the "David Blaine Approach" DOES NOT work. It only works for David because he has a camera crew. This is how I introduce myself:
"Hey there, I'm Aaron. I'm a magician. Would you like to see something?"
That's it, short and sweet. And it works. Make sure you tell them that you're a magician and
DO NOT say the words "magic trick". People don't like being tricked, they like being entertained. Plus, there's no real point for it. They already know you're a magician because you told them. There's no need to comfirm it by asking them to see a "magic trick".
HINT:
Another thing I like to do if I don't really want to go up to the group and ask them if they want to see something is to have a friend who draws a crowd. I normally do a little levitation or something and my friend freaks out and gets people's attention. Now you have a nice little crowd and you haven't even really done anything so all of your tricks are fresh and there are no people who are trying to make requests for the new audience members who didn't see a trick you did earlier.
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If you follow these guidelines, I guarantee that you'll get an audience. The rest is up to you. Make sure you put your strong foot forward and make sure your first trick is going to make them want to see more.
I hope I was helpful.
-Aaron