Question
Question: If the probability of today not being a holiday is zero, what kind of event is it?...
If the probability of today not being a holiday is zero, what kind of event is it?
Solution
Hint : There are two types of events one is sure event and other is impossible event. The probability of a sure event is 1 and the probability of impossible events is 0.
Complete step-by-step answer :
A sure event is an event, which always happens. For example ,it's a sure event to obtain a number between 1 and 6 when rolling an ordinary die. The probability of a sure event has the value of 1. The probability of an impossible event has the value of 0.
So as per the question it is given the probability of today not being a holiday is zero that means the probability of today being holiday is 1.
And we know that events where the probability of an event is 1 then that type of events are called sure events.
Therefore with respect to today being a holiday it is a sure event. On the contrary for not being on holiday it is an impossible event.
Note : Students can notice that the probability of not being is given so first we will calculate the probability and on the basis of their result we will decide on sure events or impossible events.