Final answer:
The question deals with the probability of a trick coin landing on heads or tails when tossed, contrasting with a fair coin's equal 50 percent chance for each side in the long term due to the law of large numbers.
Step-by-step explanation:
The question asks about a trick coin with a given probability of landing on either heads or tails when tossed. In the theory of probability, a fair coin has a 50 percent chance (0.5 probability) of landing on heads and a 50 percent chance of landing on tails on any single toss. However, when a coin is biased or tricked, the probability can differ from 0.5. For example, if the trick coin has a 20 percent chance of landing heads, then it would have an 80 percent chance of landing tails, assuming it's a two-sided coin and only heads or tails are possible outcomes.
When dealing with probability and repeated events, such as tossing coins multiple times, we expect to observe results approaching the theoretical probabilities in the long run due to the law of large numbers. This means that if we flip a fair coin a very large number of times, the results will tend to be close to 50 percent heads and 50 percent tails. However, for a biased coin, the distribution will match the altered probabilities of the coin's bias. When examining probabilities over the short term, such as just a few coin tosses, the outcomes can deviate significantly from the theoretical expectations. The chance of the coin landing on heads in this case is 20%. This means that out of 100 coin tosses, you can expect them to land on heads about 20 times. The chance of landing on tails would also be 20%.