Question

If P(E) = 0 , then P is a/an
A. Sure event
B. Impossible event
C. Equally likely event
D. None of these

Answer 1

Hint: In this particular type of question we need to understand the formula of probability and check the probability of an event coming zero to find the desired answer.

Complete step-by-step answer:
We know that Probability of happening an event = $\dfrac{{{\text{favourable number of outcomes}}}}{{{\text{total number of outcomes}}}}$
Let E be an event and denote its probability by P(E). We say that E is a zero-probability event if and only if it will never happen or there is no favourable outcome for the event , i.e. P(E) = 0 . Thus it is an impossible event.
So, option B. is correct.

Note: Remember that the probability of an event cannot exceed 1 not can go below zero . Note that the probability of an event is 1 if the event is a sure event and the probability is zero when the event is impossible to happen .