Iwill mark as brainiest who ever get this right

you are preparing cookies using a recipe that serves 240 people. however, you only want to make enough for 60 people. the original recipe is as follows:

9 cups all-purpose flour

4 teaspoons baking soda

4 teaspoons salt

4 cups butter

3 cups granulated sugar

3 cups packed brown sugar

4 teaspoons vanilla extract

8 large eggs

8 cups semi-sweet chocolate morsels

how much of each ingredient should you use to make a batch of these cookies for 60 people?

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.