10 Coins:
Results: 3 Heads, 7 Tails
We got 4 more tails than heads; from this run, the experimental probability of the coin landing heads was only 30%. However, since this was only 10 coin flips, the theoretical probability isn’t always close to the experimental probability. Increasing the number of coin flips should see the experimental probability get closer and closer to the theoretical probability.
100 Coins:
Results: 49 Heads, 51 Tails
The results from this test were very close to the theoretical probability of 50/50 results. I was surprised that the experimental probability was so close to the theoretical probability at only 100 flips.
1000 Coins
Results: 478 Heads, 522 Tails
Well, this test was weird. The coin flipped heads approximately 48% of the time, which was slightly less than the 49% in the 100 flips test. I think this result must have been an outlier of some sort, since the more times you do something, the closer the experimental probability will be to the theoretical probability. Oh well, at least I found something interesting.
Wow! Did you really flip a coin 1000 times? Or did you use some sort of computer program? Good job here. You exhibited a very good understanding of experimental and theoretical probability and included good conclusions based on your results. Make sure you always explicitly state what your numbers and statements apply to!
Results: 3 Heads, 7 Tails
We got 4 more tails than heads; from this run, the experimental probability of the coin landing heads was only 30%. However, since this was only 10 coin flips, the theoretical probability isn’t always close to the experimental probability. Increasing the number of coin flips should see the experimental probability get closer and closer to the theoretical probability.
100 Coins:
Results: 49 Heads, 51 Tails
The results from this test were very close to the theoretical probability of 50/50 results. I was surprised that the experimental probability was so close to the theoretical probability at only 100 flips.
1000 Coins
Results: 478 Heads, 522 Tails
Well, this test was weird. The coin flipped heads approximately 48% of the time, which was slightly less than the 49% in the 100 flips test. I think this result must have been an outlier of some sort, since the more times you do something, the closer the experimental probability will be to the theoretical probability. Oh well, at least I found something interesting.
Wow! Did you really flip a coin 1000 times? Or did you use some sort of computer program? Good job here. You exhibited a very good understanding of experimental and theoretical probability and included good conclusions based on your results. Make sure you always explicitly state what your numbers and statements apply to!
