Mod 6 Math

Option #1: Probability #1

Write a paper that adheres to the Written Assignment Requirements in the CSU-Global Guide to Writing and APA Requirements. In addition, the items noted in the Good Writing Tips section should be observed.

Your paper should contain a title page, an introduction, a body, a conclusion, and possibly a list of references. The introduction should provide background information about your paper topic, and it should state what your paper will address. We often state the main idea or purpose of the paper in what is termed a thesis statement.

The body of your paper details your methodology, findings, and/or the results of analysis. APA requires that tables, figures, and calculations/formulas used in your paper appear in the paper body.

The conclusion is where we summarize our findings, state other conclusions, relay personal experiences, and sometimes discuss the “take-home” messages associated with our work. As with many written assignments, in-text citations and a reference page are often included.

Be sure to describe or define probability, sample space, event, and possibly other terms in your paper introduction. Include calculations and solutions in the body of your paper.

In your paper, answer the following three questions:

Question #1 
The probability of getting a straight in five card draw is 0.003925. The odds in favor of getting a flush are 1:508.

1. What are the odds of getting a straight?
2. What is the probability of getting a flush?

Question #2 
Five women are playing poker. After being dealt five cards each, the women are holding a total of eight diamonds and six spades.

1. What is the probability that the next card dealt will be a diamond?
2. What is the probability that the next two cards dealt will be spades?

Question #3 
In The Matrix, the character Neo was offered the opportunity to take a red pill or a blue pill, representing the choice between embracing the sometimes painful truth of reality (the real world) and the blissful ignorance of illusion (the Matrix), respectively. Assuming that Neo could also choose a green pill and that he randomly chose only one pill, find the probability that he:

1. Took the red pill.
2. Took a blue or green pill.
3. Did not take the red or blue pill.
4. Took a red, blue, or green pill.