You are given the choice of three doors. Behind one is a new car and the others hide a barnyard animal for you to keep. After you choose door number one, your host (Monty) opens door three to reveal a goat. He then asks you if you would like to switch to door two. Has the probability of success gone from 1/3 to 1/2 and then should you switch?

Related BrainMass Solutions

• Linear Programming of Door Selection

  139835 Linear Programming You are given the choice of three doors. Behind one is a new car and the others hide a barnyard animal for you to keep. After you choose door number one, your host (Monty) opens door three to reveal a goat.

• Probability

  The host, who knows what's behind each door, then opens another door, which has a goat. He then asks if you want to pick the remaining door. If you switch you choice of doors, what is the probability of getting the door with the new car?

• Case: Let's Make a Deal.

  He then asks you if you want to keep Curtain A, or switch to Curtain B. What would you do? Hint: Questions to consider are: What is the probability of winning and the probability of losing the car prior to opening Curtain C?

• The classic question of probability Part 1

  Only if you chose option 3 does switching hurt you. So, the probability of getting something good goes up from 1/3 to 2/3 if you switch after being shown a bad door. Classic questions of probability are examined.

• Probability : Sampling without Replacement and 'Three Doors' Problem

  If he had a choice he would open the door on the left with probability p and the door on the right with probability 1 ? p. At this point, he would then ask you if you wanted to switch to the other door before revealing what you had won.

• The classic question of probability Part 2

  As I stated in the first DQ, the probability of getting something good goes up from 1/3 to 2/3 if you switch after being shown a bad door. The classic questions of probability are examined.

• Measure of Central Tendency

  Before he opens door #1 to let you see what you have chosen, he opens one of the remaining doors, say door #3, to reveal a Hyundai Excel (he will always open one of the remaining doors that has the booby prize), and asks you whether or not you want to

• Switch or Stick Question

  He then offers you the free trip again if you quit now or, if you like, propose another deal (i.e, you can keep your choice of curtain A or perhaps switch to curtain B). What do you do?

• Probability : What did you learn from the 'Dice Roll' game?

  This due to the fact that you switch after the host opens the door with the goat so you know that your chances for getting a car are more when you make the decision to switch.