Question: In Example 3.2-3, what is the probability to get the car if you follow the switching-strategy? Example 3.2-3 The name comes from a game show

In Example 3.2-3, what is the probability to get the car if you follow the switching-strategy?

Example 3.2-3

The name comes from a game show host. You are on a game show. There are three doors: behind one door is a car; behind the others are goats. You pick a door and may get what is behind it. Suppose you picked door No.1, but you did not open it yet. The host, who knows what is behind the doors, opens another door, say, No.3, with a goat behind it, and offers you to switch to door No.2. Is it beneficial to switch?

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