Assignment: Conditional Probability
1. What is the textbook's definition of probability?
2. If there are 3 green marbles and 4 red marbles in a bag, and you were asked to draw one without looking, what is the probability of drawing one green marble?
3. If you don't put that marble back, what is the probability of drawing another green marble?
4. What is the textbook's definition of conditional probability?
5. Using the above "marbles in the bag" scenario, what is a conditional probability question that you can make from it?
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.
Now consider the Monty Hall Problem introduced in the following youtube videos:
1. "The Monty Hall Problem"
2. "Monty Hall Problem - Numberphile"
6. After watching these videos, we know that if we are given the option to switch doors that, probabilistically speaking, it is in our best interest to switch. Why is the probability of winning NOT 50/50 when the contestant is given the opportunity to switch?
Format your assignment according to the following formatting requirements:
1. The answer should be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides.
2. The response also includes a cover page containing the title of the assignment, the student's name, the course title, and the date. The cover page is not included in the required page length.
3. Also include a reference page. The Citations and references should follow APA format. The reference page is not included in the required page length.