That's a very complicated calculation, since it depends on so many variables that are
difficult to evaluate or quantify. A few of the factors that would influence it are:
-- whether or not you have a decision to make;
-- how you go about considering the pros and cons, and exactly when you decide to
leave the decision to chance, and to abide by the chance outcome;
-- whether or not you have access to a coin at that moment;
You would need to define your question a little more precisely before it would be possible to estimate an answer. For example, "what is the theoretical probability that any person anywhere on earth tosses a coin within the next one million years?" would give a very different estimated answer than if you asked, "what is the probability that a certain defined person tosses a coin within a defined five minute time span?"
Or your question could be interpreted as to mean, "What are the possible outcomes when tossing a coin, and what is the theoretical probability of each outcome?"
Tossing a coin ten times is a [repeated] experiment or trial. It is neither empirical nor theoretical probability.
There are no generic answers. The theoretical probability for rolling a die and tossing a coin will, obviously, be different. The theoretical probability of an event is calculated by finding a suitable model for the trial and then using scientific laws to determine the probabilities of its outcomes.
The probability of tossing a coin and getting heads is 0.5
The probability that the second coin matches the first is 0.5 .The probability that the third coin matches the first is 0.5 .The probability that the second and third coins both match the first is (0.5 x 0.5) = 0.25 = 25%
The probability of tossing two coins that are different is 1 in 2, or 0.5.The probability of tossing something on the first coin is 1. The probability of not matching that on the second coin is 0.5. Multiply 1 and 0.5 together, and you get 0.5.
Tossing a coin ten times is a [repeated] experiment or trial. It is neither empirical nor theoretical probability.
There are no generic answers. The theoretical probability for rolling a die and tossing a coin will, obviously, be different. The theoretical probability of an event is calculated by finding a suitable model for the trial and then using scientific laws to determine the probabilities of its outcomes.
The probability of tossing a coin and getting heads is 0.5
The probability that the second coin matches the first is 0.5 .The probability that the third coin matches the first is 0.5 .The probability that the second and third coins both match the first is (0.5 x 0.5) = 0.25 = 25%
The probability of tossing two coins that are different is 1 in 2, or 0.5.The probability of tossing something on the first coin is 1. The probability of not matching that on the second coin is 0.5. Multiply 1 and 0.5 together, and you get 0.5.
The empirical probability can only be determined by carrying out the experiment a very large number of times. Otherwise it would be the theoretical probability.
Assuming a two-sided coin, and that you make the the toss, the probability of tossing a head or a tail is 100%. The probability of tossing a head is 50%. The probability of tossing a tail is 50%.
0.5
Hhgh
The probability of tossing heads on all of the first six tosses of a fair coin is 0.56, or 0.015625. The probability of tossing heads on at least one of the first six tosses of a fair coin is 1 - 0.56, or 0.984375.
3 out of 6
The probability that a flipped coin has a probability of 0.5 is theoretical in that it assumes the existence of a perfect coin. The same can be said of the probabilities of the spots appearing on a single tossed die which requires the existence of a perfect die. Here's an example. Consider tossing a coin twice to see what comes up. It could be tail, head, or head tail, or tail, tail or head, head. The theoretical probability of two heads is one in four. In general, theoretical probability is the ratio of the number of times a possible outcome can occur in a given event to the number of times that event occurs.