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The spinner below has three regions: $5, $0, and $10. To play the game, you spin one time and then you win the amount in the region that the spinner lands on. a.) What is the expected value for the game? b) If you have to pay $10 to play, is it a fair game? *
a) $5.00 b) no
a) $4.79 b) yes
a) - $ 8.75 b) no
a) $ 3.00 b) yes

The spinner below has three regions 5 0 and 10 To play the game you spin one time and then you win the amount in the region that the spinner lands on a What is class=

Respuesta :

fichoh

Answer:

$5.00 ; no

Step-by-step explanation:

Given that:

135 / 360 = 0.375

90 / 360 = 0.25

135/ 360 = 0.375

X ___ 5 _____10 _____ 0

P(x): _0.25___0.375___0.375

Expected value :

ΣX*p(X) :

5(0.25) + 10(0.375) + 0(0.375)

1.25 + 3.75 + 0

= $5

b) If you have to pay $10 to play, is it a fair game?

For the game to be fair :

Amount paid = Expected winning

$10 ≠ $5

Since, amount paid is greater than expected winning, then the game is not fair

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