Math 109 Explorations Paper

APA style.

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 
Two four-sided dice are rolled. One die has the numbers 1, 2, 3, and 4. The other has the numbers 5, 6, 7, and 8.

1. How many elements are in the sample space?
2. Express the event “the two dice sum to 8” as a set (show each of the possible combinations).
3. What is the probability that the total showing is equal to eight?

Question #2 
Three cards are selected from a 52-card deck of cards. What is the probability of choosing three jacks?

Question #3 
The odds in favor of Team A beating Team B are 7:5. What is the probability that Team B will win?