I need help with my discussion.

In §4.4 we are introduced to the concept of conditional probability. The notation P(A | B) denotes the probability of event A occurring given that we know event B has occurred.

• What is probability? How is it different from conditional probability?
• What is an everyday example of a question that is based on conditional probability? Create one.
• Now consider the Monty Hall Problem introduced in the following video:

https://m.youtube.com/watch?v=4Lb-6rxZxx0

• After watching this video, we know that if we are given the option to switch doors that, probabilistically speaking, it is in our best interest to switch.
• Explain WHY the chance of winning after the host opens a zonk door is NOT 50/50.
• Explain why it is in your best interest to switch doors after a zonk door is opened.
• If the game were based on four doors, and Monty opened two zonks after you had picked your door, what would be the chance of winning? Why?