PROBABLITY

PROBABLITY

1. DEFINATIONS

   • Sure Or certain event
     • When event having probablity to occur as 1
   • Complementary Angle
     • For event E complementary event, P(E) =1-P(E)
   • Elementary Angle
     • Event having only one outcome of the experiment

2. VALUE

   • Sum of the probablity of all elementary event is 1. For events A, B, C; P(A) +P(B) +P(C) =1

3. EXAMPLES

   • Dice
     • Two dice are rolled what is the probablity of getting 12 a sum?
       • Solution: Number of possible outcome= 36 , Number of Favourable outcome =1 ; P(E) =1/36
   • Card
     • What is the probablity of getting queen from a pack of 52 cards?
       • Solution:Number of flavourable outcome=4, Number of possible outcome= 52 ;P(E) =4/52=1/3
   • Coin
     • When a coin is tossed what would be the probablity appearing head ?
       • Solution: Two outcomes i. e. (H, T) , Flavourable outcome=1; P(E) =1/2

4. THEROTICAL PROBABLITY

   • 0<P(E) <1, What we expect to happen is an experiment P(E) = Number of trials in which the event happened /Total number of trials

5. EXPERIMENTAL PROBABLITY

   • What actually happens is an experiment P(E) = Numbers of the outcome flavoulable to E / Number of the all possible outcome of the experiment