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!