Q4) You are on a TV show and the presenter shows you 3 boxes: box 1, box 2 and, box 3. There is check for 1M $ in one of the boxes and if you guess the correct box you win 1M $ ! Let's assume you chose box 1. a) What is the probability that the check is in box 1? b) What is the probability that the check is not in box 1? c) After you chose box 1, the presenter opens box 2 and shows you that it is empty. Then, the presenter asks you if you want to change your initial decision and choose box 3 instead of box 1. Do you still choose box 1 or change your decision and choose box 3? Why?
Q4) You are on a TV show and the presenter shows you 3 boxes: box 1, box 2 and, box 3. There is check for 1M $ in one of the boxes and if you guess the correct box you win 1M $ ! Let's assume you chose box 1. a) What is the probability that the check is in box 1? b) What is the probability that the check is not in box 1? c) After you chose box 1, the presenter opens box 2 and shows you that it is empty. Then, the presenter asks you if you want to change your initial decision and choose box 3 instead of box 1. Do you still choose box 1 or change your decision and choose box 3? Why?
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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Transcribed Image Text:Q4) You are on a TV show and the presenter shows you 3 boxes: box 1, box 2 and, box 3.
There is check for 1M $ in one of the boxes and if you guess the correct box you win 1M $ !
Let's assume you chose box 1.
a) What is the probability that the check is in box 1?
b) What is the probability that the check is not in box 1?
c) After you chose box 1, the presenter opens box 2 and shows you that it is empty. Then, the
presenter asks you if you want to change your initial decision and choose box 3 instead of box 1.
Do you still choose box 1 or change your decision and choose box 3? Why?
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