Defense is also allowed to roll multiple dice

Reference no: EM131214865

Now consider a modified version of Problem where the defense is also allowed to roll multiple dice. Each player's highest roll is compared with the other player's highest roll, their second highest roll is compared with the other player's second highest roll, etc. As before, any ties go to the defense.

(a) Suppose both players roll two dice. In this case, there are two armies to be lost since there are two dice comparisons (highest vs. highest and lowest vs. lowest). Find each of the following probabilities:

(i) Offense wins both comparisons (and thus defense loses two armies).

(ii) Offense wins one comparison and defense wins the other (and thus each lose one army).

(iii) Defense wins both comparisons (and thus offense loses two armies).

(b) Repeat all the calculations in part (a) for the scenario where the offense rolls three dice and the defense rolls two dice. As before, there are two comparisons to be made in this scenario (highest vs. highest and second highest vs. second highest).

Reference no: EM131214865

Questions Cloud

Find probability of offense winning and defense winning : Find the probability of the offense winning and the probability of the defense winning when Both players roll only a single die.

Civilian information security practitioner : Conduct a mock interview of one military and one civilian information security practitioner (for a total of two mock interviews) concerning information security and cyberwarfare.

Examine the importance of business process modeling : In this Discussion, you examine the importance of business process modeling for the organization and within your role as a systems analyst.

Calculate the electric field intensity in materials : Calculate the electric field intensity in materials (1), (2), and (3) and the slab reflection and transmission coefficients.

Defense is also allowed to roll multiple dice : Find the given probability - Offense wins both comparisons (and thus defense loses two armies). - Defense wins both comparisons (and thus offense loses two armies).

What is the manufacturers minimum cost output level : Based on your calculations in completing the table in Question 2, what is this manufacturer's minimum cost output level? Explain your answer.

How can obligations impact individual and group rights : Explain what obligations the U.S. government has towards its citizens and how can these obligations impact individual and group rights?

Borders of the united states : Cloud computers are not necessary located within the borders of the united states and therefore may not be subject to the same regulations as U S based computers. Do you think that all U S companies should be required to keep there cloud servers ..

How can walmart learn from mistakes : What can the company change in order to achieve sustainable distinctive competency - What actions differentiate Walmart's operational choices from that of Kmart or Costco? Are these operational choices rare?

User Account

All Pages