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Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.
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That's not quite right.
If you assume x is the amount in your current envelope, switching will either double your money to 2x, or halve it to x/2, leading to an expected gain when switching as shown in the article.
You need to look a little deeper and think about what the implications are of saying that for any x the envelope has either x or 2x with equal probability.
Ken