In a game of with two players, M and J, M has ared die and J has a white die. They roll their dice and note the number on the upper face. M wins if her score is higher than J. (J wins if the scores are same). If both players roll their dice once each, what is probability that M will win the game?
What are the variables in this task? why?
Consider the same game where M can roll her die a second time and wil note the higher score of the two rolls but J rolls only once. In this case what is probability that M will win. investigate the game when both players can roll their dies twice, and also when both players can roll their dice more than twice but not necessarily the same number of times.
Generalise the findings to generate a formula for M wining and a formula for J wining.Verify and justify whow the rule works.Suggest improvement and/or alternative method to the method chosen to derive the formula. What is the importance of the general formula in context of playing same kind of game in real life. What degree of accuracy is to be considered while calulating the probabilities. Does degree of accuracy change the findings? Explain?