You are playing in a game show, and have won $1,200 so far. Now it's the final round, and you must choose to play double-or-nothing game. The host offers you to play the "Monty Hall" problem with 4 boxes, where only one box contains the "double" prize. You should choose a box, then the host opens two empty boxes and gives you the chance to switch boxes or to stick to your first choice. Assuming you choose the best strategy, what are your chances of doubling your prize? (You should enter a value is in the range 0-1)

You are playing in a game show, and have won $1,200 so far. Now it's the final round, and you must choose to play double-or-nothing game. The host offers you to play the "Monty Hall" problem with 4 boxes, where only one box contains the "double" prize. You should choose a box, then the host opens two empty boxes and gives you the chance to switch boxes or to stick to your first choice. Assuming you choose the best strategy, what are your chances of doubling your prize? (You should enter a value is in the range 0-1)

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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Question

You are playing in a game show, and have won $1,200 so far. Now it's the final round, and you must
choose to play double-or-nothing game.
The host offers you to play the "Monty Hall" problem with 4 boxes, where only one box contains the
"double" prize. You should choose a box, then the host opens two empty boxes and gives you the
chance to switch boxes or to stick to your first choice.
Assuming you choose the best strategy, what are your chances of doubling your prize?
(You should enter a value is in the range 0-1)

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