Tatiana, the first ten flips proves to be rather perfect than expected. Getting 5H and 5T for the flips results in a 50/50 chance of flipping a coin. Compared to my flipping on the first ten flips, which resulted in 7H and 3H, the difference of heads is 1/5 while those of tails are 1/5. According to Persi Diaconis, when a coin flipping is vigorously done the chances of getting 50/50 achievable, but many people do not do them vigorously which is not random at all. For the first ten flips, our outcomes are rather different which raises the question of how random the flips were done . However, for the 20 flips, the results are rather close. Your flips resulted in 8H and 12T which translates to 13H and 17T which gives 53/57 chance. Comparing this to mine, which resulted in 16H and 14T, giving a difference of 1/30, the results were rather close with a chance of 53/57. In the second flipping, the differences were not highly noted.
In the last flipping, you got 44H and 56T comparable to 47H and 53T which I got. Although there is a difference, the difference is not much which is an average of 45/55 chances. Although this is not a 50/50 chance, the difference is not much, and it can be proved flipping a coin can or cannot result in a 50/50 chance. The difference can be attributed to some reasons. I agree with your reason that the heads side of the coin is heavier than the tails side. Also, the level of vigorous energy by the toss determines the extent of 50/50 chance between Head and Tail. Most instances have proven, when a coin is flipped with heads-up, it will always remain heads-up when it lands. Also, most people flipping a coin determines the landing of the coin because many of them end up giving weight to the favorable side of the coin. These reasons have caused the flipping of the coin chances to move above and below 50/50 chance slightly.
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