If a coin is tossed 2,000,000 times, what is the probability that it will come up exactly 1,000,000 times each heads and tails?

If we make the assumption that every coin flip has a 50/50 chance of landing head or tails. If every coin has an equal chance of having both outcomes occur then that means every coin combination has an equal chance of occuring. So, because there are 2 000 000 flips and only 1 of 2 outcomes can occur each time then this gives us 2^2,000,000 possiblilities. Since each of these have an equal chance of happening then that means 1,000,000 heads and 1,000,000 tails is just as likely as 2,000,000 heads. So we take the number 2^2,000,000(which according to many online calculators is infinity) and then you take 2^2,000,000√100 and that will give you the percent chance

Posted by Alan on 2003-03-07 11:14:45