The Cupcake Spot made 136 cupcakes: there are 36 chocolate flavored, 52 red velvet flavored and the rest are vanilla flavored cupcakes. The bakery wants to mix and package the cupcakes so that each box has the same number of cupcakes in each box. How many boxes are there at most? How many of each flavor is in each of the boxes?

Assume that there is a 11% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?