A ratio is a comparison of the relative size of two different things. Probability is the change that something will (or will not) occur.
Probability can be expressed as a ratio of Yes to No (or, "will occur" to "won't occur"). That is, Probability is the relative size of Yes to No. So, if something is said to have a 60% Probability of occurring, what that is indicating is that, out of 100 tries, 60 will be the outcome indicated. While probability is usually expressed as a percentage, it is entirely possible to express it as a ratio. In the aforementioned example, a 60% Probability of occurrence could also be said to be a 60:40 (or, reduced, 3:2) ratio in favor of happening.
It depends on what variable the probability ratio was for! The random variable could have been the number of heads minus the number of tails, for example.
Probability is a measure of the likelihood of a given event and is a number in the range [0, 1]. That value, if expressed as a ratio, is a probability ratio. It can also be expressed as a percentage or a decimal fraction.
It is the theoretical probability of the event.
The global gender probability, at birth, is approx 0.517 for male and 0.483 for female. This is not the same as the gender ratio at conception because of gender-specific abortion.
The number of "favourable" outcomes.
It depends on what variable the probability ratio was for! The random variable could have been the number of heads minus the number of tails, for example.
Probability is a measure of the likelihood of a given event and is a number in the range [0, 1]. That value, if expressed as a ratio, is a probability ratio. It can also be expressed as a percentage or a decimal fraction.
ratio and gambling
Probability is a ratio of two counts: both of which MUST be positive. Their ratio cannot be negative.
It is the theoretical probability of the event.
No. Probability is always represented as a positive ratio/fraction/percent.
The global gender probability, at birth, is approx 0.517 for male and 0.483 for female. This is not the same as the gender ratio at conception because of gender-specific abortion.
Probability is the ratio of the count of anticipated outcomes divided by the count of all outcomes.
The number of "favourable" outcomes.
There is no single formula of probability. The probability of a simple event in a trial is a measure of all outcomes which result in the event, expressed as a proportion of all possible outcomes.If all the outcomes have the same probability then it is the ratio of the number of "favourable" outcomes to the total outcomes. However, the definition based on numbers fails if they are not equi-probable.
A crude odds ratio is the probability that a case preceeded the control in regard to exposure and history.
With probability ratios the value you get to describe the strength of the relationship when you compare (A given B) to (A given not B) is not the same as what you get when you compare (not A given B) to (not A given not B). This is, IMHO, a big problem. There is no such problem with odds ratios.