Question

Mark the correct alternative in each of the following:
The probability of an impossible event is

Options

• 1

• 0

•  less than 0

•  greater than 1

Answer 1

We have to find the probability of an impossible event.

Note that the number of occurrence of an impossible event is 0. This is the reason that’s why it is called impossible event.

Remember the empirical or experimental or observed frequency approach to probability.

If n be the total number of trials of an experiment and A is an event associated to it such that A happens in m-trials. Then the empirical probability of happening of event A is denoted by P (A) and is given by

` P(A) = m/n`

Note that n is a positive integer, it can’t be zero. So, whatever may be the value of n, the probability of an impossible event is `0/n=0`.