Identify independent and dependent events

key notes:

Two events are independent if the outcome of the first event does not affect the outcome of the second event.

Learn with an example

📢 Carter spins the spinner twice.

Are these two events dependent or independent?

  • dependent
  • independent

The two events are independent. Carter’s first spin does not affect the second spin.

📢 Rodrigo picks a marble at random. Without putting the first marble back, he picks a second marble at random.

Are these two events dependent or independent?

  • dependent
  • independent

The two events are dependent. Rodrigo does not put the first marble back, so his first pick affects which marbles are left for his second pick.

📢 Mia picks a card at random. Without putting the first card back, she picks a second card at random.

Are these two events dependent or independent?

  • dependent
  • independent

The two events are dependent. Mia does not put the first card back, so her first pick affects which cards are left for her second pick.

let’s practice!