Consider a slightly modified Monty Hall problem: Suppose you're on a game show, and you're given the choice of three doors: Behi
nd one door is a car; behind the others, wildcats (placed uniformly at random). The two wildcats are called Alice and Bill, say. You pick a door, say No. 1 [but the door is not opened]. The host, who knows what's behind the doors, must open one of the two remaining doors to reveal a wildcat. In particular, if the host had a choice between the two wildcats, the host will show you Bill with probability b. Find the probability that the car is behind the door you initially chose, given that the wildcat revealed to you is Bill. Remember to write down the sample space and associated probabilities.
To solve this problem, you'll need to subtract 25 (total quantity of roasted almonds) by the remaining variable of roasted almonds (3 1/2 lbs.), resultant towards finding how many pounds of roasted almonds Xavier had sold; Xavier had sold 21 1/2 pounds of almonds.
