Probability

Probability

1. Definitions

   • Complementary Event: For event E, complement event, P(E–) = 1–P(E)
   • Elementary Event: Event havingonly one outcome of the experiment.
   • Sure or Certain Event: When event havingprobability to occur as 1.

2. Value

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

3. Experimental Probability

   • What actually happens in an experiment
     • P(E) = number of outcomes favourable to E ÷ Number of all possible outcomes of the experiment

4. Theoretical Probability

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

5. Examples

   • Sum with Dice
   • Sum with Coin
   • Sum with Card