Kira is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8. The dart lands on a numbered slice at random. This game is this: Kira tosses the dart once. She wins si if the dart lands in slice 1, $3 if the dart lands in slice 2, $5 if the dart lands in slice 3, 88 if the dart lands in slice 4, and $10 if the dart lands in slice 5. She loses $3 if the dart lands in slices 6, 7, or 8. (a) Find the expected value of playing the game. dollars (b) What can Kira expect in the long run, after playing the game many times? O Kira can expect to gain money. She can expect win dollars per toss. O Kira can expect to lose money. She can expect to lose ☐ dollars per toss. O Kira can expect to break even (neither gain nor lose money).
Kira is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8. The dart lands on a numbered slice at random. This game is this: Kira tosses the dart once. She wins si if the dart lands in slice 1, $3 if the dart lands in slice 2, $5 if the dart lands in slice 3, 88 if the dart lands in slice 4, and $10 if the dart lands in slice 5. She loses $3 if the dart lands in slices 6, 7, or 8. (a) Find the expected value of playing the game. dollars (b) What can Kira expect in the long run, after playing the game many times? O Kira can expect to gain money. She can expect win dollars per toss. O Kira can expect to lose money. She can expect to lose ☐ dollars per toss. O Kira can expect to break even (neither gain nor lose money).
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 61E: Roulette American roulette is a game in which a wheel turns on a spindle and is divided into 38...
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Transcribed Image Text:Kira is playing a game of chance in which she tosses a dart into a
rotating dartboard with 8 equal-sized slices numbered through 8. The
dart lands on a numbered slice at random.
E
This game is this: Kira tosses the dart once. She wins $1 if the dart lands
in slice 1, $3 if the dart lands in slice 2, $5 if the dart lands in slice 3, $8 if
the dart lands in slice 4, and $10 if the dart lands in slice 5. She loses $3 if
the dart lands in slices 6, 7, or 8.
(a) Find the expected value of playing the game.
dollars
(b) What can Kira expect in the long run, after playing the game many times?
O Kira can expect to gain money.
She can expect to win dollars per toss.
O Kira can expect to lose money.
She can expect to lose dollars per toss.
O Kira can expect to break even (neither gain nor lose money).
X
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