What is the theoredical probability of tossing 2 coins in the air and having them land on heads 100 times?

I am going to go against everybody else here and say "WE DON"T KNOW"! If it is a "fair" coin then the probability is 50%. Each toss is mutually exclusive and the previous 100 tosses have no effect on the 101st toss whatsoever, and the chance is still 50%.

HOWEVER, the question does noy say it is a fair coin! The fact that it has landed 61 times on heads in 100 tosses could be because it is an "UNFAIR" coin and is weighted to favour heads compared to tails. If that is the case then there is a higher probability of getting another head on the next toss than a tail.

We cannot say it is 61% because some sampling error could have occurred. All we can say is that WE DO NOT KNOW! If this was in an exam I would state firstly IF it was a "fair" coin and quote the 50% answer as that is what the question probably intended.

BUT I would also point out the fact that it may NOT be a fair coin. No exam marker would fail you for doing so and you may get bonus marks!

I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.