This is actually more of a mathematical phenomenon than a psychological phenomenon except that it is so counter intuitive, meaning that it is very opposite of what we would expect. Our intuition is wrong!
We will be exploring the Let's Make a Deal Paradox. This paradox is related to a popular television show in the 1970's. In the show, a contestant was given a choice of three doors of which one contained a prize. The other two doors contained gag gifts like a chicken or a donkey. After the contestant chose an initial door, the host of the show then revealed an empty door among the two unchosen doors, and asks the contestant if he or she would like to switch to the other unchosen door. The question is should the contestant switch. Do the odds of winning increase by switching to the remaining door?
Based on the work of R. Webster West, Dept. of Statistics, Univ. of South Carolina
1/25/17 Edited the area where the students record wins and the percent of the wins for clarity.
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