Question

If P(E)=1 the E is .... event ( ) A)Impossible B) sure C)equally likely D) None​

Answer 1

Answer:

Hi mate ,

If P(E)=1 the E is sure event .

Answer 2

Answer:

option (A) is correct.

Step-by-step explanation:

As we know that probability is the ratio of favorable number of outcomes to the total number of outcomes.

Let us consider an event E.

Therefore P(E) = Favorable number of outcomes/Total number of outcomes.

Now it is given that P(E) = 1.

Therefore P(E) = Favorable number of outcomes/Total number of outcomes=1.

Therefore a favorable number of outcomes is equal to the total number of outcomes.

This is only possible if it is called a sure event or a certain event.

For example what is the probability of getting a number less than 7 when a dice is thrown.

As we know in a dice the possible outcomes are (1, 2, 3, 4, 5 and 6)

So the favorable number of outcomes is equal to the total number of outcomes.

Therefore P(E) = 6/6=1 which is a sure event or a certain event.

So this is the required answer.

Hence option (A) is correct.