Random ice cream prices: As in Example 11.1, consider rolling many (fair six-sided) dice, where price is still determined as the largest number followed by the smallest number (in cents). Answer the following without performing either a simulation or exact analysis.

a. How would you expect the probability that the price is 50 cents or less to change as the number of dice continues to increase? Explain your reasoning. 

b. How would you expect the average price to change as the number of dice continues to increase? Explain your reasoning. 

c. If you were allowed to choose the number of dice to be rolled, how many would you choose? Explain your answer.