Question

The probability of an event is always in between 0 and 1 why?

Answer 1

Helo mate here your ans

According to the defination of probability , it is defined as the ratio of the total no. Of favourable outcomes to total outcomes .

Let us assume that ,

The total no. Of favourable out comes = n

The total no. Of outcomes =t

Probability =p

Therefore according to the defination

P = n/t

But we know that total no.of favourable outcomes should be greater than 0 and less than the total outcomes ‘t’ because if favourable outcomes are either negative or greater than total outcomes seems vague and invalid

0<n<t

Dividing it by by total no.of outcomes ‘t’

0<n/t<t/t

As derived earlier ,

0<p<1

Hence by above relation probability lies between 0 and 1 .

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