Question

Which pair of events is dependent? You get a head and a tail in two coin tosses with two different coins. You get a head and a tail in two coin tosses using the same coin twice. You pick two numbered billiard balls from a bag of balls one after the other without replacement. You draw two red cards one after the other with replacement.

Answer 1

The billiard balls without replacement.

Let's say there are 10 billiard balls 5 red and 5 blue.
If you pick a blue ball on the first pick you had a 5/10 chance
Now your chances of getting a red are only 5/9.
What happened on the first pick affects what happens on the second (making it dependent)