Probability

Probability

1. Definition

   • SURE EVENT: when a event has a probability of 1 to occur
   • ELEMENTARY EVENT: event having only one outcome of the experiment
   • COMPLEMENTARY EVENT: For event E, complementary event P(ˉE) = 1- P(E)
   • EVENT: an outcome of a random experiment or an event is something that happened
   • IMPOSSIBLE EVENT : probability of event is equal to 0

2. Value

   • Sum of probability of all elementary events is 1. Eg: For events A, B and C P(A)+ P(B)+P(C)=1

3. Theoretical Probability

   • 0≤P (E)≤ 1 or what we expect to happen in the experiment P(E) = Number of trials in which the event happened/ Total number of trials

4. Experimental Probability

   • what actually happens in an experiment P(E)= Number of outcomes favourable to E/ Number of possible outcomes of the experiment

5. Random Experiment: Such may result in two or more outcomes eg. tossing a coin or throwing a dice

6. SAMPLE SPACE:set of all possible outcomes of an experiment

7. EQUALLY LIKELY EVENT: the different outcomes have same and equal chance of occurrence