Answered: probability door A (your door) has the…

probability door A (your door) has the prize, given that Monte Hall shows door B, when there are n doors. What is the probability you win if you switch to door C?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Could you help me please:

Find a formula for the probability door A (your door) has the prize, given that Monte Hall shows
door B, when there are n doors. What is the probability you win if you switch to door C?

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Expert Solution

Step 1: Find a formula for the probability door A (your door) has the prize, given that Monte Hall shows d

Initially, every door has a 1/n probability to be the one with a price, and the probability that one among the remaining n-1 doors have the price is n-1/n.

When Monte reveals that door B has no price then the probability that remaining n-2 have the price is still n-1/n

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