Question

State whether the events are independent or dependent.

Choosing the winner and runner-up at a dog show.

Short answer

Choosing the winner and runner-up at a dog show aredependent events.

Step-by-step solution

Step 1. Given Information.

Given it is to be determined whether choosing the winner and runner-up at a dog show are independent or dependent events.

Step 2. Explanation.

When the outcome of one event does affect the outcome of another event, then the events are dependent events.

When the outcome of one event does not affect the outcome of another event, then the events are independent events.

Here when one person is chosen as winner then the number of persons for runner-up is reduced by that one person i.e. the choice of runner-up is dependent on the choice of winner.

Hence, the events are dependent events.

Step 3. Conclusion.

Choosing the winner and runner-up at a dog show are dependent events.