Question

If x and y are complementary events .Then find p(x)+p(y)​

Answer 1

Answer:

Step-by-step explanation:

The Complement Rule  

The Complement of an Event

The complement A′ of the event A consists of all elements of the sample space that are not in A.

Determining Complements of an Event  

Let us refer back to the experiment of throwing one die. As you know, the sample space of a fair die is S={1,2,3,4,5,6}. If we define the event A as observing an odd number, then A={1,3,5}. The complement of A will be all the elements of the sample space that are not in A. Thus, A′={2,4,6}.

A Venn diagram that illustrates the relationship between A and A′ is shown below:

 

This leads us to say that the sum of the possible outcomes for event A and the possible outcomes for its complement, A′, is all the possible outcomes in the sample space of the experiment. Therefore, the probabilities of an event and its complement must sum to 1.

The Complement Rule

The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1.

P(A)+P(A′)=1

Answer 2

Hopes the above attachment will help you...