This week, we've been looking at probability. The problem given was "Just how unlikely is it to get 15 heads in a row?" in a discussion, we received lots of different feedback: "It's super unlikely!" or "Just as likely as any others." We found that the probability of flipping one coin was 50%. That DOESN'T mean that getting "HH" is 50% though. It's actually 25% because of the four possibilities: TH, HT, HH, TT. As you keep adding more coins to flip, the probability of getting a certain pattern, such as HTHTHTHTH, considerably lowers.
So in this, we had to justify why this was. Logically speaking, this makes sense, but each coin only has 50% chance for each side, so shouldn't the chance of getting HTHTHTHTH be 50%? And with collaboration, this quickly becomes confusing because there are numerous brains confused about the same thing.
As you can see in the picture, Max and I went with the straight-forward approach of supporting justifying our theory. We wrote down all of the possibilities with four coin, three coins, and two coins. It quickly became apparent that the percentages of a certain pattern lowers.
So in this, we had to justify why this was. Logically speaking, this makes sense, but each coin only has 50% chance for each side, so shouldn't the chance of getting HTHTHTHTH be 50%? And with collaboration, this quickly becomes confusing because there are numerous brains confused about the same thing.
As you can see in the picture, Max and I went with the straight-forward approach of supporting justifying our theory. We wrote down all of the possibilities with four coin, three coins, and two coins. It quickly became apparent that the percentages of a certain pattern lowers.