Suppose you wanted to simulate the birthdays (month and day, not year) of three children in one family by first choosing a month and then choosing a day. Assume that none of them were born in a leap year.
a. What range of numbers would you tell the computer to use to simulate the month? Would you tell it to make all of those choices equally likely? Explain.
b. What range of numbers would you tell the computer to use to simulate the day? Would you tell it to make all of those choices equally likely? Explain.
c. In each case (month and day), would it make sense to tell the computer to allow the same number to be chosen twice, or not to allow that? Explain.