One the game show Lets Make a Deal, you are shown three doors, A, B, and C, and
ID: 3154123 • Letter: O
Question
One the game show Lets Make a Deal, you are shown three doors, A, B, and C, and behing one of them is the Big Prize. After you select one of them- say, door A- to make things more intersting the host (Monty Hall), who knows what is behind each door opens one fo the doors- say, door B- to reveal that the Big Prize is not there. He then offter you the opportunity to change your selection to the remaining foor, door C.
What if you know that Monty's strategy is always to open door B if possible (i.e) it does not hold the Big Prize) after you choose A?
b) If he opens door C, should you switch?
If you switch, the probability of winning the Big Prize is ____________?
If you do not switch, the probability of winning the Big Prize is ________________?
Explanation / Answer
What if you know that Monty's strategy is always to open door B if possible (i.e) it does not hold the Big Prize) after you choose A?
b) If he opens door C, should you switch?
If you switch, the probability of winning the Big Prize is 1 / 3
If you do not switch, the probability of winning the Big Prize is 2 / 3
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