? asked in 教育與參考考試 · 1 decade ago

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

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  • 1 decade ago
    Best 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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