Question

select all of the situations that contain independent events.A. two fair dice are rolled. The first die lands on five and the second die lands on one.B. The favorite fruit of five randomly selected shoppers in the produce section of a grocery store.C. Eating a candy bar and test results showing a high level of sugar in your bloodstream.D. Pulling a blue marble from a hat and then pulling a second blue marble from a hat after replacing the first marble.

Answer 1

We will analyze each case:

A) Notice that the result of the second die does not depend on the result of the first die (and vice-versa), therefore the events are independent.

B) Since we are randomly selecting the shoppers, then since the preferences of one person do not depend on the preferences of another person, then the events are independent.

C) If you eat candy, after a certain time, the sugar in the candy will be absorbed by your body and that will be reflected in a blood test, therefore the events are dependent.

D) Since we are replacing the first marble, then the probability remains unchanged, therefore the events are independent.

Answer: Options A, B, and D.