How Is Mathematical Expectation Used?

Multiply the expected winning amount by the probability, and you get a figure that's bigger or smaller than the cost of buying this lottery ticket (the underlying asset).
If it's bigger, keep buying — buy in bulk. That's called risk-free arbitrage. If it's smaller, whoever buys is just throwing their money into the water.

Home Inspector: Pre-Purchase Quality Inspection

New tip from a group chat: You should get a home inspection before taking possession of a new property, or you’ll be on the hook for any subsequent issues yourself.

Fees are typically 200–400 yuan, charged per square meter. Make sure the inspection company provides an official report with legal standing, then require the developer to make repairs. A re-inspection afterward usually costs about 40 yuan per unit.

For example, check out this service.

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