Probability

Probability

1. Empirical Probability

   • When probability is based on an actual experiment suppose event E is happen , when experiment
     • Performed ,then P(E) =No.of times event E occured /Number of times the experiment was performed

2. TYPES

   • Measurement Probability
     • ●When repetition of an experiment can be avoided for exact probability; ; P(E)=No.of event favourable /Total number of all possible event
   • Classical Probability
     • Probability of an event denotes likelihood of its happening:: P(E)=No. Event favourable/Total number of all possible event

3. Probability of Events

   • Sum
     • •Sum of the Probability of all events is always one e.g. Suppose these are n events corresponding to a random experiment, them P(E1) +P(E2)+P(E3)+.......P(En) =1
   • Complementary event
     • ●P(E)+P(E2)=1or P(E2)=1- P(E) here; P(E)=P(notE) = complimentary event
   • Certain event or sure event
     • Probability of an event is equal to 0

4. Probability of any event can never be less than 0 and not more than 1

   • 0<P_(E)<_1

5. Equally likely Event

   • The different outcomes have the same as equal chance of occurance

6. Event

   • Asn outcomes of a random experiment or an event is something that happens

7. Sample space

   • Set of all possible outcomes of an experiment

8. Random Experiment

   • Random experiment may result in two or more outcomes e.g. (i) tossing a coin (ii)throwing a dice