Events A and B are independent. Let event A be the event that a person chooses and buys a certain pear from the grocery store. Let event B be the event that a person chooses and buys a certain book from the book store.

Question

 
Which statements explain why events A and B are independent? Choose ,begin emphasis,all,end emphasis, that apply.
Answer options with 4 options
A.
Choosing a certain book affects the choice of a pear.
B.
Choosing a certain pear affects the choice of a book.
C.
Choosing a certain book does not affect the choice of a pear.
D.
Choosing a certain pear does not affect the choice of a book.

Answer 1

To determine why events A (choosing and buying a certain pear) and B (choosing and buying a certain book) are independent, we need to identify statements that correctly indicate that the outcome of event A does not influence the outcome of event B, and vice versa.

The correct statements are:

C. Choosing a certain book does not affect the choice of a pear.
D. Choosing a certain pear does not affect the choice of a book.

These statements indicate that the two events are independent of each other.