2) In a TV show, there are three boxes. Red, Green, and Yellow. One of the boxes has a frog in it and the other 2 is empty. You are trying to avoid to open the box with the frog. Assume that you randomly selected a box, let's say Green. The game host opens one of the unselected box, say Red, and showed there was no frog in it. The host knows which one includes the frog. Now the host proposes you the option of either staying at the box that you have chosen or change it to the remaining box, (Yellow in this case). What is the probability of finding the frog if you change your selection and if you don't change? Compare the results and make the decision about switching your initial selection.

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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2) In a TV show, there are three boxes. Red, Green, and Yellow. One of the boxes has a frog in it
and the other 2 is empty. You are trying to avoid to open the box with the frog. Assume that you
randomly selected a box, letť's say Green. The game host opens one of the unselected box, say
Red, and showed there was no frog in it. The host knows which one includes the frog. Now the
host proposes you the option of either staying at the box that you have chosen or change it to
the remaining box, (Yellow in this case). What is the probability of finding the frog if you change
your selection and if you don't change? Compare the results and make the decision about
switching your initial selection.
Transcribed Image Text:2) In a TV show, there are three boxes. Red, Green, and Yellow. One of the boxes has a frog in it and the other 2 is empty. You are trying to avoid to open the box with the frog. Assume that you randomly selected a box, letť's say Green. The game host opens one of the unselected box, say Red, and showed there was no frog in it. The host knows which one includes the frog. Now the host proposes you the option of either staying at the box that you have chosen or change it to the remaining box, (Yellow in this case). What is the probability of finding the frog if you change your selection and if you don't change? Compare the results and make the decision about switching your initial selection.
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