Final answer:
To match the theoretical probability, Tyrone's results should show an approximately equal number of heads and tails, approaching a 50/50 distribution with a larger number of coin flips, in accordance with the law of large numbers.
Step-by-step explanation:
Tyrone's results should match the theoretical probability of flipping a coin if he is performing a large number of flips. If the coin is fair, meaning it is not biased or loaded, the theoretical probability of getting heads or tails on a single flip is 0.5. This implies that over a large number of flips, the number of heads and tails should be approximately equal, approaching a 50/50 distribution the more flips are performed due to the law of large numbers.
For example, if Tyrone flipped the coin 100 times, to match the theoretical probability, he would expect to get close to 50 heads and 50 tails. However, in the short term, results can vary widely from the expected 50/50 distribution. This is why in the short term, one might see a macrostate such as 3 heads and 2 tails or 2 heads and 3 tails more frequently, as these outcomes are more probable than getting all heads or all tails.