If you flip a coin five times and it comes up heads each time, the probability that it will come up heads the next time is

Still 1/2 if it is a fair coin. Past performance is no indicator of future events. If you gamble and don't believe this, you will wind up poor in the end. Eventually the bias will right itself, and over a 10000 time trial the process will be about 5000 for heads or tails.

I let the computer flip a fair coin 1000 times. It came back with 496 successful times (success being defined as heads). I could run this experiment a million times and it would come back the same way - very nearly 1/2. 

If you gamble, remember, past performance is no predictor of future events. The second part of that piece of wisdom is that you may go broke waiting for the bad streak to end.
The third piece of wisdom is that the house always wins.

Here are the answers to the ones that i could see.