(1) Instead of our original assumptions, suppose that upon the capsule machine being freshly restocked, the capsule machine has exactly 5 super-rare action gure capsules in it and a total of 60 capsule prizes total (i.e., there are 55 capsules that do not contain super-rare action gures). You are the rst person to attempt the gacha since the most recent restocking of the machine (so there are no missing prizes), what is the probability a $3 investment will net you a super-rare action gure (i.e., at least one)? (4pm) Problem 3. A gacha/ capsule machine costs $1 to use and produces a single random prize per use. Any random prize from the machine has an 8% chance of containing a super-rare action gure. The random prize contents are independent of each other (since the prize capsules are manufactured independent of each other) and the machine never runs out of prizes