### 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

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