The dependent event is (b) Drawing a 2 from a deck of cards not replacing it and then drawing another 2
How to determine the dependent events
From the question, we have the following parameters that can be used in our computation:
The events
Events are considered dependent if the occurrence or outcome of one event affects the occurrence or outcome of the other.
Using the above as a guide, we have the following:
1. Drawing a king from a deck of cards, replacing it, and then drawing another king:
These events are independent because replacing the first king means the deck is back to its original state
2. Drawing a 2 from a deck of cards, not replacing it, and then drawing another 2:
These events are dependent because not replacing the first 2 changes the composition of the deck
3. Rolling a die and getting 6, and then rolling it again and getting 6 again:
These events are independent because each roll is independent of the other.
4. Flipping a coin and getting tails, and then flipping it again and getting tails again:
These events are independent because the outcome each flip is independent of the other.