Monday, 28 May 2018
WHAT IS PROBABILITY AND THEIR TYPES
PROBABILITY:
In case of engineering statics we take a probability definition for this type.
"probability is define as predict to happening something"
for example :IT WILL RAIN TODAY
probability are generally two types :
- experimental
- theoretical
EXPERIMENTAL:
An operation which can produced same well -defined outcomes is called experiment.
RANDOM EXPERIMENT:
An experiment in which all possible outcomes at known and the exact output presided in advance is called random experiment.
SAMPLE SPACE:
When we perform an experiment then the set S of all possible outcomes is called sample space.e.g
S={H,T}
EVENT:
Any subset of a sample space is called an event
P(E)=NUMBER OF FAVORABLE OUTCOMES / TOTAL NUMBER OF POSSIBLE OUTCOMES
EQUALLY LIKE EVENTS:
Two events A and B are said to be equally likely events when one events is has likely to occur as the other.
MUTUALLY EXCLUSIVE EVENTS:
Two events A and B of a single experiment are said to be mutually exclusive events or disjoints sets if and if only if they can not both occur at the same time that is They have no points in common.
AnB=O
EXHAUSTIVE EVENTS:
Is that their union must cover all the events with in the bentire sample space .For example events A and B are said to be collectively exhaust it
AuB=S
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