The event having probability zero is known is.(a) sure event (b) impossible (c) elementary event (d) compound event
Answers
The event having probability zero is known as impossible
Step-by-step explanation:
sure event - event which has probability 1
on a coin
getting either Head or Tail is a sure event
Probability 2/2 = 1
impossible event - event which has probability 0
on a coin
getting neither Head nor Tail is impossible event
Probability 0/2 =0
Elementary event is an event which contains only a single outcome
A compound event is an event that has more than one possible outcomes.
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SOLUTION
TO CHOOSE THE CORRECT OPTION
The event having probability zero is known as
(a) sure event
(b) impossible event
(c) elementary event
(d) compound event
CONCEPT TO BE IMPLEMENTED
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
Now the total number of possible outcomes = n and the total number of possible outcomes for the event E is m
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
EVALUATION
Since the given event is with probability zero
So the event is impossible event
FINAL ANSWER
The correct option is
The event having probability zero is known as
(b) impossible event
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