Monty Hall Math Ia

Hence plh probability opens door l opens door h pnn 1 3 1 2 0 npn 1 3 0 1 nnp 1 3 1 2 0 in other words when monty opens door h the player knows with certainty that the prize is behind the lower number door l.

Monty hall math ia. The probability of the host opening door iii given that the prize is behind door number 1. The monty hall problem is a brain teaser in the form of a probability puzzle loosely based on the american television game show let s make a deal and named after its original host monty hall the problem was originally posed and solved in a letter by steve selvin to the american statistician in 1975. Behind the other two was a low value prize such as a goat. In cases pnn and nnp monty opens the lower door l.

The monty hall problem is one of the most famous problems in mathematics and in its original form goes back to a game show hosted by the famous monty hall himself. Play the monty hall game or run the simulation many times to better understand one of the most famous math riddles. The monty hall problem named after the television host monty hall who made it famous in a tv show has re ceived its fair share of attention in mathematics. According to the ib math subject guide common topics such as the fibonacci sequence the golden ratio the monty hall problem and the sir model for epidemics casino games cryptography graphing musical tones and projectile motion are often chosen for internal assessment.

In case npn monty opens the higher door h. Pick one of three doors. The contestants on the game show were shown three shut doors. Behind one of these was a high value prize such as a car.

Since the contestant has chosen door number 1 the host can open either door 2 or door 3 with equal probability p iii. These topics are often poorly done and do not score a good grade. Recently accessibility to the history of the problem was greatly enhanced due to the appearance of a monograph devoted entirely to the subject. D pr 2 goats in 2 doors not picked 2 3 1 3 1 3 conditional probability e pr 1 goat 1 car in doors not picked 2 3.