Outcome Payout HHH $10 HHT $3 HTH $0 HTT -$3 TTT $10 THH -$3 THT $0 TTH $0 Kara is playing a game where she flips a coin 3 times. She wins and loses different amounts of money based on the outcomes. What is the EXPECTED VALUE for the game?
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OpenStudy (anonymous):
multiply the amount you win times the probability you win that amount and add it all up
OpenStudy (anonymous):
these are the answer choices
A)
$0
B)
$2.13
C)
$3.29
D)
$4.14
but i keep getting like 1.25
OpenStudy (anonymous):
you can ignore the payoffs of zero, because they contribute nothing, so it will be
\[\frac{10+3-3-3}{8}\]
OpenStudy (anonymous):
no that was wrong
\[\frac{10+10+3-3-3}{8}\]
OpenStudy (anonymous):
look like
\[\frac{17}{8}=2.125\] so i guess you are supposed to go with $2.13
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OpenStudy (anonymous):
2.125? so round to 2.13?
OpenStudy (anonymous):
yeah i think so, round since it is money but really it is 2.125 right
OpenStudy (anonymous):
so is it like just the average?
OpenStudy (anonymous):
exactly like an average, yes
OpenStudy (anonymous):
okay thank you
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