Question

Consider that there are x number of apples, y number of oranges and z number of bananas in a basket of fruit. if the basket of fruit is the sample space what is the complement of y?

1) y
2) y and z
3) x and y
4) x and z

Answer 1

The complement of y (the number of oranges) in a sample space with x apples, y oranges, and z bananas is x and z, representing the apples and bananas.

Step-by-step explanation:

The question is asking for the complement of the number of oranges in a sample space that includes a certain number of apples, oranges, and bananas. The complement of y (the number of oranges) in a sample space with x apples, y oranges, and z bananas is x and z, representing the apples and bananas.

The complement is everything in a set that is not included in a given subset. In a basket containing x number of apples, y number of oranges, and z number of bananas, the complement of the subset consisting of the oranges (y) would be the set consisting of the other types of fruit in the basket, which are apples and bananas.

Therefore, the correct answer is x and z, signifying the apples and bananas.