Question: A lottery game is played by choosing six whole numbers between 1 and 49. The grand prize is won if all six numbers chosen match the winning numbers drawn. We can think of choosing the winning numbers as the same thing as choosing a simple random sample of size 6.
a. What is the list of units from which the sample will be chosen?
b. Use a computer random number generator or invent your own random mechanism to draw six numbers. Explain your process, and write down the six numbers chosen.
c. George plays this game weekly. Assume that the winning numbers are drawn fairly, so that any number has the same chance of occurrence. Would George have a better chance of winning if he chose the same numbers every week, if he chose different numbers every week, or does it matter?