PROBABILITY

PROBABILITY

1. RANDOM EXPERIMENT

   • RANDOM EXPERIMENT MAY RESULT IN TWO OR MORE OUTCOMES EG:1.TOSSING A COIN ,2.THROWING A DICE

2. SAMPLE SPACE

   • SET OF ALL POSSIBLE OUTCOMES OF AN EXPERIMENT

3. EVENT

   • AN OUTCOMES OF A RANDOM EXPERIMENT OR AN EVENT IS SOMETHING THAT HAPPEN

4. EQUALLY LIKELY EVENT

   • THE DIFFERENT OUTCOMES HAVE THE SAME AS EQUAL CHANCE OF OCCURENCE

5. TYPES

   • EMPIRICAL PROBABILITY
     • WHEN PROBABILITY IS BASED ON AN ACTUAL EXPERIMENT SUPPOSE EVENT E IS HAPPEN WHEN EXPERIMENT IS PERFORMED ,THEN P (E)=NO. OF TIMES EVENT E OCCURED/NO.OF TIMES THE EXPERIMENTWAS PERFORMED
   • MEASUREMENT PROBABILITY
     • WHEN REPITITION OF AN EXPERIMENT CAN BE AVOIDED FOR EXACT PROBABILITY THEREFORE PROBABILITY =NO.OF FAVOURABLE OUTCOMES/NO,OF ALL POSSIBLE OUTCOMES
   • CLASSICAL PROBABILITY
     • PROBABILITY OFAN EVENT DENOTES LIVELIHOOD OF ITS HAPPENING THEREFORE P(E)= NO. OF EVENT FAVOURABLE/TOTAL NO. OF ALL POSSIBLE EVENT

6. PROBABILITY OF EVENTS

   • SUM
     • SUM OF THE PROBABILITY OF ALL EVENTS IS ALWAYS ONE EG:SUPPOSE THESE ARE n EVENTS CORRESPONDING TO A RANDOM EXPERIMENT ,THEM P(E1)+P(E2)+P(E3)+...P(En)=1
   • COMPLIMENTARY EVENT
     • P(E)+P(E)=1 OR P(E)=1-P(E)HERE P(E) =P(NOT E) =COMPLIMENTARY EVENTS
   • CERTAIN EVENT/SURE EVENT
     • PROBABILITY OF AN EVENT IS EQUAL TO 1
   • IMPOSSIBLE EVENT
     • PROBABILITY OF AN EVENT IS EQUAL TO 0