Applied Mathematics for Electrical Engineering (3130908)

Question-4a

BE | Semester-3 Winter-2019 | 26-11-2019

Q4) (a)

Mutually Exclusive Events: If $A \cap B = \emptyset$ , Events are called Mutually Exclusive Events.
Probability: Let $U$ be a finite sample space and $S$ be its power set. Suppose that a set function $P : S ⟶ R$ satisfies following axioms.
Axiom 1: For every $A \in S$ , $P (A) ⩾ 0$ .

Axiom 2: $P (U) = 1 .$

Axiom 3: For every, $A_{1} \in S, A_{2} \in S, If A_{1} \cap A_{2} = \emptyset, then P (A_{1} \cup A_{2}) = P (A_{1}) + P (A_{2}) .$

Then $P$ is called a Probability function. For event $A \in S$ , $P (A)$ is called the probability of the event $A$ .
Compound events: A compound event is an event which has more than one possible outcome.