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