yes it can be defined more commonly as a ratio between the number of and numbr of possible outcomes
ratio
Probability is a numerical value defined for a set of outcomes. It is non-negative and such that the sum or integral over all possible outcomes is 1.
A probability distribution must have a well defined domain - that is, the set of possible outcomes.For each possible outcome, there must be a non-negative value associated - the probability of that outcome.The sum of the probabilities, over all possible outcomes, must be 1.
The probability of an event is defined as the ratio of favourable outcomes to total outcomes. In the case of discrete distributions these will be represented by numbers, while for continuous distribution they will be measured as areas. In either case, the first measure is non-negative and the second is positive and so the probability is greater than 0. Also, the number of favourable outcomes cannot be greater than the total so the probability must be at most 1.
Probability is defined as the number of ways an outcome can occur divided by the number of possible outcomes. For the coins, there are 4 outcomes (HH, HT, TH, TT). On the cube, there are 6 possible outcomes. The total number of outcomes is then 4*6 = 24. Since there is only 1 way to obtain HH, look at the cube outcomes. With the HH outcome, the cube would need to fall on a 4. So, there is only 1 way a HH4 can occur. Therefore the probability of getting 2 heads and a four is 1/24 or 0.04167.
ratio
Probability is a numerical value defined for a set of outcomes. It is non-negative and such that the sum or integral over all possible outcomes is 1.
A probability distribution must have a well defined domain - that is, the set of possible outcomes.For each possible outcome, there must be a non-negative value associated - the probability of that outcome.The sum of the probabilities, over all possible outcomes, must be 1.
Your question is slightly vague, so I will pose a more defined question: What is the probability of 3 coin tosses resulting in Tails exactly twice?The three possible (winning) outcomes are:TTHTHTHTTThe other (losing) outcomes are:HHHHHTHTHTHHTTTSo there is a 3 in 8 chance or a probability of 3/8 = 0.375
The probability of an event is defined as the ratio of favourable outcomes to total outcomes. In the case of discrete distributions these will be represented by numbers, while for continuous distribution they will be measured as areas. In either case, the first measure is non-negative and the second is positive and so the probability is greater than 0. Also, the number of favourable outcomes cannot be greater than the total so the probability must be at most 1.
Probability is defined as the number of ways an outcome can occur divided by the number of possible outcomes. For the coins, there are 4 outcomes (HH, HT, TH, TT). On the cube, there are 6 possible outcomes. The total number of outcomes is then 4*6 = 24. Since there is only 1 way to obtain HH, look at the cube outcomes. With the HH outcome, the cube would need to fall on a 4. So, there is only 1 way a HH4 can occur. Therefore the probability of getting 2 heads and a four is 1/24 or 0.04167.
This question can be rather easily answered, as soon as outcomes 'a' and 'b' are defined.
COnsider some event A and the number of outcomes that are favourable to A. Then the probability of A is the number of such outcomes as a proportion of all possible outcomes (related to the trial or experiment). Defined as a proportion in this way, it can never be greater than 1. Converted to a percentage, that means it can never be greater than 100 percent.
No. Not all outcomes are equally probable. Generally, the chance, or probability, of a particular event happening can be calculated.It should be noted that the possibility of some events happening cannot be calculated.
One can find information on the bayesian probability on many different websites including Wikipedia. It is defined as one of many interpretations of the concept of probability.
To determine the probability of the event P(b and an even number), you need to know the total number of outcomes and how many of those outcomes satisfy both conditions: being 'b' and being an even number. If 'b' represents a specific event and you're working with a defined sample space, you would count the outcomes that meet both criteria and divide that by the total number of outcomes in the sample space. Without specific data or context, the exact probability cannot be calculated.
A discrete probability distribution is defined over a set value (such as a value of 1 or 2 or 3, etc). A continuous probability distribution is defined over an infinite number of points (such as all values between 1 and 3, inclusive).