Question

What is the definition of event in probability?

Answer 1

DEFINITION OF EVENT IN PROBABILITY :

An event for an experiment is a collection of some outcomes of the experiment. It is generally denoted by capital letter E. For e.g -: Getting head in the toss of a coin is an event.
 
•An elementary event is an event having only one outcome of the random experiment. For e.g, In tossing of a coin the possible outcomes are head (H) and tail (T).

• A compound event is a collection of two or more elementary events associated with an experiment. For e.g , In tossing  of two coins HT,TH is a compound event.

•The probability of an event is a measure of the chance that the event will occur as a result of an experiment.

•The probability of a sure event or certain event is 1.

•The probability of an impossible event is zero.

•Probability of an event can never be negative.

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Answer 2

Solution:-

●The probability of the occurrence of an event is the ratio of the number of possible outcomes in the number of all possible outcomes:

>P = M / N

The following properties in this definition are:

●1. If the event is reliable, then its probability is one. In this case, all the results will be favorable.

●2. If the event is impossible then its probability is zero. This case is due to the lack of favorable results

●3. The probability value of any random event is in minus one for one to zero.

●If two incidents can not appear together as a result of a test, then they are called incompatible. Their probability is calculated by the additional theorem:

>P (A + B) = P (A) + P (B), where A and B are inconsistent incidents.

●It is calculated as the possibility of independent events; product of this same quantity (multiplication theorem) for each of them. For example, it can kill the target during the shooting of two guns. In other words, independent incidents are those whose results do not depend on each other.


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