The probability of event equal to zero is called: *
Answers
Answer:
zero-probability events are events whose probability is equal to zero.
Despite the simplicity of this definition, there are some features of zero-probability events that might seem paradoxical.
The probability of event equal to zero is called impossible event
Given :
The probability of event equal to zero
To find :
The name of the event
Solution :
Step 1 of 2 :
Define probability of an event
In any random experiment if the total number of elementary ( simple) events in the sample space be n ( a finite number) among which the number of elementary events favourable to an event E , connected with the experiment be m then the probability of the event E is denoted by P (E) and defined as
Step 2 of 2 :
Find the event
We know that ,
For an impossible event, the number of favourable cases is zero and hence it's probability is 0
On the other hand for a certain event S all cases are favourable cases and hence it's probability is 1
Hence the probability of event equal to zero is called impossible event
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