Final answer:
It is true that as the number of coin tosses increases, the observed results are expected to approach the expected results due to the law of large numbers.
Step-by-step explanation:
If more coin tosses are completed, it is true that you would expect the observed results to approach the expected results. This phenomenon is due to the law of large numbers, which states that as the number of repetitions of an experiment increases, the relative frequency of the outcome approaches the theoretical probability. In the case of a fair coin toss, the probability of getting heads is 0.5, and as you increase the number of tosses, the relative frequency of obtaining heads should get closer to this theoretical probability.
For example, tossing a coin twice might not result in one head and one tail as the short-term outcome can be unpredictable. However, if you toss a coin 1,000 times, the outcome will likely be close to 500 heads and 500 tails. Not only does this apply to fair coins but also to biased coins where the theoretical probability is known. Over many trials, the observed results should closely match the expected probability defined by the coin's bias.