Consider a game with two players, Mary and Jerry. Mary has a red die and Jerry has a white die. They roll their dice and note the number on the upper face. Mary wins if her score is higher than Jerry's (note that Jerry winds if the scores are the same). If both players roll their dice once each what is the probability that Mary will win the game?
What are the variables in this task? Why?
Now consider the same game where Mary can roll her die a second time and will note the higher score of the two rolls but Jerry rolls only once. In this case what is the probability that Mary will win?
Investigate the game when both players can roll their dice twice, and also when both players can roll their dice more than twice, but not necessarily the same number of times.
Generalize your findings to generate a formula for Mary winning and a formula for Jerry winning.
Verify and justify how your rule works.
what degree of accuracy you have considered while calculating the probabilities.
does it change your findings
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