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# For an Event E, Write a Relation Representing the Range of Values of P(E) - ICSE Class 10 - Mathematics

ConceptProbability - A Theoretical Approach

#### Question

For an event E, write a relation representing the range of values of P(E)

#### Solution

The probability of an event lies between 0 and '1'.

i.e 0 ≤p(E) ≤1.

Proof : Let's be the sample space and 'E' be the event

Then
0 ≤ n(E) ≤ n(S)

0/n(E) ≤ / n(E)/ ≤ n(S)/ n(S)

or 0 ≤P(E) ≤1

The number of elements in ‘E’ can’t be less than ‘0’ i.e. negative and greater than the number of elements in S

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Solution For an Event E, Write a Relation Representing the Range of Values of P(E) Concept: Probability - A Theoretical Approach.
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