You draw one card from a standard deck of playing cards. If you pick a heart, you win $10. If you pick a face card, which is not a heart, you win $8. If you pick any other card you lose $6. What is the expected value of the game?

Respuesta :

alatty

Answer:

0.42

Step-by-step explanation:

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Answer:

The expected value of the game is  $131

Step-by-step explanation:

54 Cards in a deck including Jokers

52 Cards in a deck not including Jokers

13 Hearts

13 Clubs

13 Spades

13 Diamonds

13 Face Cards

13 / 52  = 25% Chance Of Pulling A Heart

30 / 52 = 57% Chance Of Pulling A Face Card Not A Heart

9 / 52 = 17% Chance of Loosing $6

$130 = Pick A Heart

$81 = Face Card Not a Heart

$130+$81 = $211

30 x 6 = $180

The expected value of the game is  $131

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