### Mathematics Class XI

Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Chapter 6: Sequence and Series
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter 1: Statistics
Chapter 2: Probability

# Equiprobable Space or Uniform Space

A sample space is called an Equiprobable space iff all the simple events are equally likely to occur:

→Probability of occurrence of the event , donated by , is defined by where is the Sample Space.

→Probability of non-occurrence of Algebra of Events:

(i) For any event   .

(ii) (iii) , where is empty set.

(iv) (v) If are two events and , then  (vi) If are any two events, then (vii) If are mutually exclusive events, that is , then (viii) or (ix) or (x) If are events, then: (xi) For are mutually exclusive events (xii) ( at least two of occur) (xiii) ( Exactly two of occur) (xiv) ( Exactly one of occur ) Note:

If three events are pairwise mutually exclusive, then they must be mutually exclusive, that is Conditional Probability:

If and are two events, then:

(i) (ii) Note:

For mutually exclusive events that is , then and Scroll to Top