Question

activity 6.1.1 - the counting principle
answer the following questions. make sure to show all steps on how you got your answer.

1. true or false: picking the 1st, 2nd, and 3rd place winners at a track meet is an independent event.

Explanation:

Step1: Define independent and dependent events

Independent events are those where the outcome of one event does not affect the outcome of another. Dependent events are where the outcome of one event affects the outcome of another.

Step2: Analyze the track - meet winner selection

When picking the 1st - place winner at a track meet, there are a certain number of participants to choose from. After the 1st - place winner is chosen, the number of available participants for the 2nd - place is reduced by 1. And after the 2nd - place winner is chosen, the number of available participants for the 3rd - place is reduced by 1 more. So, the selection of the 2nd - place winner depends on who was chosen as the 1st - place winner, and the selection of the 3rd - place winner depends on who were chosen as the 1st and 2nd - place winners.

Answer:

False