Basic Rules of Probability:
1) The probability of an event (E) is a number (fraction or decimal) between and including 0 and 1. (0≤P(E)≤1)
2) If an event (E) cannot occur its probability is 0.
3) If an event (E) is certain to occur, then the probability if E is 1. This means that there is a 100% chance that something will occur.
4) The sum of probabilities of all the outcomes in the sample space is 1.
Addition Rules/Formulas:
When two events (A and B) are mutually exclusive, meaning that they can't occur at the same time or they have no outcomes in common, the probability that A or B will occur is:
P(A or B)= P(A)+P(B)
If A and B are not mutually exclusive, then:
P(A or B)= P(A)+P(B)-P(A and B)
Multiplication Rules/Formulas:
When two events (A and B) are independent events, meaning the fact that A occurs does not affect the probability of B occurring (for example flipping a coin, rolling a die, or picking a card), the probability of both occurring is:
P(A and B)= P(A)P(B)
Conditional Probability-When two events are dependent (not independent), the probability of both occurring is:
P(A or B)= P(A)P(B|A)
Note: P(B|A) does not mean B divided by A but the probability of B after A.
The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.
There are numerous laws or rules. The related link probably described the most basic of them, listed below: 1. For any event, the probability must be between 0 and 1, inclusive. 2. The sum of all the events must equal 1.
No 1.001 is not a probability. Probability can not be >1
The probability is 0.5The probability is 0.5The probability is 0.5The probability is 0.5
Odds against A = Probabillity against A / Probability for A Odds against A = (1 - Probabillity for A) / Probability for A 9.8 = (1 - Probabillity for A) / Probability for A 9.8 * Probability for A = 1 - Probability for A 10.8 * Probability for A = 1 Probability for A = 1 / 10.8 Probability for A = 0.0926
the empirical rules of probablility applies to the continuous probability distribution
See the Basic Rules for Probability section in the related link.
The four basic rules of probability are: Non-negativity: The probability of any event is always between 0 and 1, inclusive. Normalization: The total probability of all possible outcomes in a sample space sums to 1. Additive Rule: For mutually exclusive events, the probability of either event occurring is the sum of their individual probabilities. Multiplicative Rule: For independent events, the probability of both events occurring is the product of their individual probabilities.
The probability is zero since the rules governing boxing would not permit a heavyweight boxer to fight at flyweight.
Something that may or may not happen as in the rules of probability from a scale of 1 to 0
That depends on the rules that define the random variable.
It will lead to a high probability of risk in failure,damage,loss of assets or life.
Sometimes it is possible to define a model for a trial or experiment and then use mathematical or scientific rules to determine the probability of the possible outcomes. Such a procedure gives theoretical probabilities.
The probability is 120/7776 = 0.0154, approx.
No individual can be said to have discovered the rules of probability. Some people that made important contributions are Gerolamo Cadarno, Pierre de Fermat, Blaise Pascal and Chritiaan Huygens.Pierre-Simon Laplace wrote what many consider to be the definitive work.
That depends what rules you use, to choose a number randomly.
The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.The complement (not compliment) of the probability of event A is 1 minus the probability of A: that is, it is the probability of A not happening or "not-A" happening.