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Three Doors Gold Probability

MediumStatistics & Probability00:00
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Your question is Three Doors Gold Probability. Take a moment with it on the right.

Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).

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Problem

There are three doors in front of you. Behind one door is gold, behind one door is nothing, and behind one door is a route that brings you back into the room, so you can pick between the three doors again. What is the probability you will find the gold?