Write a report that answers the following questions and meet the list of requirements that follows.

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.

Questions:
1.Two three-sided dice are rolled. One die has the numbers 1, 3, and 5. The other has the numbers 2, 4, and 6. 1.How many elements are in the sample space?
2.Express the event “the two dice sum to five or less” as a set (show each of the possible combinations).
3.What is the probability that the two dice sum to five or less?

2.The odds in favor of scoring 90% or better the MTH109 final exam are 3:8. What is the probability that a random student will score less than 90%?
3.A random number generator only generates the numbers 1 through 9. What is the probability that the next number generated by the number generator will be: 1.A nine?
2.An even number?
3.A number greater than 2?
4.An odd number greater than 4?

Requirements:
•This paper should be 2-3 pages in length and should cite and integrate at least one credible outside source.
•The introduction should summarize the problem and state what approach and method will be applied to solve it.
•Include a title page, an introduction, a body, a conclusion, and a Reference list.
•The body of your paper should answer the questions posed in the problem, explain how you approached and approached and answered the question or solved the problem, and for each question, show all steps involved.
•The conclusion should summarize your findings and what you have determined from the data and your analysis, with a broader or personal perspective in mind when applicable.
•As with all written assignments, provide in-text citations and a reference page.
•Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.
•Document formatting, citations, and style should conform to the APA Requirements. In addition, the items noted in the “Good Writing Tips” section should be observed. Refer to the document (attached at the bottom of the page) Calculating Tree Height as an example of how the paper is to be formatted.