How do you play two dice Bunco?
What is the probability that the player rolls two distinct numbers different than six or rolls exactly one six (no points or one point)?
What is the probability that the player rolls two of the same number but no six, i.e., two 1s, or two 2s, and so on (five points Mini Bunco)?
What is the probability that the player rolls two 6s (21 points Bunco)?
Compute the total of the probabilities found in the three previous questions.
If the player wins a dollar for every point, he/she gets and losses three dollars for getting no points, what are the expected winnings or losses on each roll?
Describe the sample space when rolling two dice once. How can identifying all the elements of the sample space help you answer the questions in Part I?
Determine if “rolling two different numbers different than six” or “rolling exactly one six” are mutually exclusive events. Justify your answer. Explain how this information can help you answer question one, Part I.
Describe the relationship between odds and probability. Explain how you can use the result in question three, Part I to find the odds of getting a Bunco in a single roll.
What does the result found in question four, Part I imply about these events? Explain how you have used the answers to questions one and two, Part I to get the answer to question three, Part I.
Interpret the answer to question five, Part I.
Discuss the advantages of understanding probabilities when playing dice games.
Think of another scenario where probabilities can be used. Discuss the advantages of using probabilities in the context of the scenario you created.