comment on the event and its probability the number of all possible outcomes of an experiment is equal to the number of outcomes favourable to that event
Answers
Answer: When the total number of all possible outcomes is equal to the number of favorable outcomes, then the event has Probability 1 and is a sure event.
Step-by-step explanation:
Probability is how likely an event is going to occur.
Take an example of a tossing of a coin. How likely it is going to fall on heads up? How likely will it fall on tails up. This is easily defined by the idea of probability.
If you do a random experiment,
When x outcomes are favorable to a particular event and y are the total outcomes,
Probability is given by x/y.
In the present question,
Let the favorable outcomes to the event is n(E) = x
According to the data,
The total number of outcomes, n(S) =x.
Now, Probability = n(E) / n(S) = x/x = 1.
Since there are no other outcomes, that is there are no outcomes which are unfavorable to the event, the event is going to happen for certain. Hence, It is called Sure event or Certain event.
We define Sure event in the other words as, The event with probability 1.