Question

Which cannot be the Probability of an event ?

Answer 1

Hint:A probability of any event can be expressed by \[0\le P(E)\le 1\]. Hence, we can say that the probability lies within these limits. Now we can use this to find how there will be no probability of any event.

Complete answer:
Here to find the probability of an event which isn’t possible at all you can start by taking the conditions where there is a probability of an event definitely exists. You can show this by;
If the probability of an event let it be known as E is P(E) then you can notice that:
-If \[P(E)=0\] then it is an impossible event. An impossible event means that the event in question definitely wouldn’t occur no matter what the circumstance is the occurrence of it is impossible
-If \[P(E)=1\] then it is a certain event. A certain event is when the event in question is confirmed to happen. In no circumstance can the event be stopped from happening.
-A probability of any event can be expressed by \[0\le P(E)\le 1\].

Therefore to answer the question which is that what cannot be a probability we can say that probability cannot be lesser than \[0\] and it also cannot be greater than \[1\].

Note:The likelihood of the happening and/or occurrence of any event is known as probability. Probability of any event can be any value between \[0\] and \[1\]. If all outcomes of an event or experiment are listed then the listing is called as sample space of that event or experiment. n(S) is usually used to represent the number of outcomes in the sample. Now a formula we can derive from n(S), if n(E) represents the number of outcomes in any space particular event or experiment then we can say that \[P(E)=\dfrac{n(E)}{n(S)}\].