More Dice (Intuition)
Now think about letting the number of dice get larger and larger, still with the rule that the price is the largest number followed by the smallest number.
What do you expect to happen to the probability that you can afford an ice cream cone as a function of the number of dice? Explain your reasoning.
What do you expect to happen to the probability that I pay for your ice cream cone as a function of the number of dice? Explain your reasoning.
What do you expect to happen to the average price as a function of the number of dice? Explain your reasoning.
What do you expect to happen to standard deviation of prices as a function of the number of dice? Explain your reasoning.
What do you expect to happen to the probability distribution of the price as the number of dice gets quite large? Explain your reasoning.