# 請問一下統計高手，關於機率

You pay $2 to bet at a racetrack. The probability is 1/10 that you will be paid $6, and the probability is 1/20 that you will be paid $10. What is the expected gain or loss from betting?

### 1 Answer

Rating

- 1 decade agoBest Answer
題意是說：

你花了2塊錢賭馬，有1/10的機率會得到6塊的報酬，

1/20的機率會得到10塊錢的報酬。

預期報酬(expected return)： E= ( 1/10 X 6 + 1/20 X 10 ) = 0.6 + 0.5 = 1.1

預期報酬只有1.1元，但是扣掉你的賭本2元，你賠了0.9元( 1.1 - 2 )，

所以是預期損失(expected loss)

P.S即便人們知道賭贏的機率小，但人性還是會去賭，例如大樂透。

Source(s): 統計學概念

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