Explain why choosing two socks from a drawer containing blue, red, and green socks is an example of dependent events.

When you choose the first sock from the drawer, you affect the composition of available socks left inside. If you pick a blue sock, for instance, there is one less blue sock to choose from when you grab the second one. This changes the probabilities for the second choice based on your first choice, making these events dependent. It’s like a sock party where the friends you pick already influence who else can join you later!

To visualize this, picture a fun scenario where you have a giant pile of socks at a party. If you pick a red sock first, there are still blue and green socks left to mingle, but now that red sock can’t come back! So, each pick alters the odds, making your sock selection a dynamic dance of choices rather than random, independent picks.