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Poker Math That Matters

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160<br />

4. Someone holds out a deck of cards. If you pick out a<br />

spade, they will give you $4. However, if you pick out<br />

the A♠, they’ll give you $20. It will cost you $1 to draw.<br />

What is the EV of this wager?<br />

Answer:<br />

A♠: 1<br />

= 0.019<br />

52<br />

Other spades: 12<br />

= 0.231<br />

52<br />

Not spades: 39<br />

= 0.75<br />

52<br />

.019($19) + 0.231($3) + 0.75(-$1) = x<br />

$0.361 + $0.693 - $0.75 = $0.304<br />

5. Someone gives you two dice. They offer to pay you $37<br />

if you roll two 6s. However, it will cost you $1 a roll.<br />

What is the EV of this wager?<br />

Answer:<br />

Double sixes: 1<br />

= .028<br />

36<br />

Other rolls: 35<br />

= 0.972<br />

36<br />

.028($36) + 0.972(-$1) = x<br />

$1.008 – $0.972 = $.036

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