50/50 chance of a coin landing heads?

Well, there is something interesting in this tossing game. You can try this. Put a coin with head on upward, and then toss it. Catch it with your open hand, and what you get ? Head ! Try again with with tail upward, and what you get ? Tail ! How could this happen ?

Actually it not exactly a 50/50 chnace. It could always land on it's side. Leaving that out now and getting to your question. If you fliped it 99 times and it landed on tails. The next flip will still be 50/50 it landing on heads or tails. Just like int he game of roulette. If one number comes up 10 times in a row, it still has a 1 in 38 chance it will come up again.

Well, if you see it based on statistic phylosophy; they will say it 50/50 chance. However, it all comes back to how do you flip it, in what kind of environment do you flip it, what kind of coin do you use to flip, and so on

No matter how many tosses went before, each new toss is 50/50. The history of the previous tosses have nothing to do with it - although a million gamblers would probably tell you different!

Not a math major, but I have heard of an experiment that proves that the randomness of a coin flip is due entirely to the inconsistancy of humans. They built a machine to flip coins and flipped it somewhere around 50,000 times and ALWAYS got the same result. A person making the same series of flips gets about 50/50. I've also heard that evn though a series of 100 or 1000 flips will end up roughly 50/50, the actual counts will come in streaks, sometimes 10 or 20 in a row. A stats professor I heard of does an experiment every year where he has one group of students make up a series of flips and another actually do the flips and compare results. He said the actual flippers are always startlingly less random than the fakes, filled with streaks.

It's the same 50/50 chance every time. The chance of landing on heads does not increase with each tails flip. It's still just 50/50.