The law of large numbers #2 Normal distribution

Normal distribution gives us a clearer understanding of how chance works.
If we toss a coin, we have a 50/50 chance for head/tail, right?
We can also say that we have 2 possible outcomes with a probability ratio of 1:1.
Now if we toss a coin 2 times, we might get either 2 heads/1 head and 1 tail/1 tail and 1 head/or 2 tails. that is 3 possible outcomes with a probability ratio of 1:2:1.
Note that "1 head and 1 tail/1 tail and 1 head" are 2 different outcomes.

As this logic goes, the probability ratio will be the following:
            1:1                       (1 coin toss)
          1:2:1                      (2 coin toss)  
        1:3:3:1                    (3 coin toss)
      1:4:6:4:1                   (4 coin toss)
  1:5:10:10:5:1                (5 coin toss)
1:6:15:20:15:6:1             (6 coin toss)

With this we can easily see the weight distribution. This is how the curve comes about.

We can also calculate the probability of results. For example if we want to know the chance for 6 consecutive tails, we can first add the numbers 1+6+15+20+15+6+1 = 64 possible outcomes = 1/64 or 1.5625% chance.
The probability to get 3 heads and 3 tails will be 20/64. or 31.25% chance.