Suppose you roll a die with the following rules: you wi n $ 1 if the die comes up with an even number and )'ou lose $1 if it comes up odd.
a. suppose you get 45 even numbers in your first 100 rolls. how much money have you won or lost?
b. on the second i 00 rolls, )'our luck unproves and you roll 47 even numbers.
c. Your luck continues to improve, and you roll 148 even numbers in your next 300 rolls. How much money have you won or lost over your total of 500 rolls?
d. How many even numbers would you have to roll in the next 100 rolls to break even? Is this likely? Explain.
e. What were the percentages of even numbers after 100, 200, and 500 rolls? money have you won or lost o\'cr 200 rolls?