Rachel 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: Rachel tosses the dart once. She wins $1 if the dart lands in slice 1, $2 if the dart lands in slice 2, $5 if the dart lands in slice 3, and $8 if the dart lands in slice 4. She loses $4 if the dart lands in slices 5, 6, 7, or 8. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. | dollars (b) What can Rachel expect in the long run, after playing the game many times? O Rachel can expect to gain money. She can expect to win dollars per toss. O Rachel can expect to lose money. She can expect to lose dollars per toss. O Rachel can expect to break even (neither gain nor lose money).
Rachel 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: Rachel tosses the dart once. She wins $1 if the dart lands in slice 1, $2 if the dart lands in slice 2, $5 if the dart lands in slice 3, and $8 if the dart lands in slice 4. She loses $4 if the dart lands in slices 5, 6, 7, or 8. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. | dollars (b) What can Rachel expect in the long run, after playing the game many times? O Rachel can expect to gain money. She can expect to win dollars per toss. O Rachel can expect to lose money. She can expect to lose dollars per toss. O Rachel 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:Rachel 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: Rachel tosses the dart once. She wins $1 if the dart lands in slice 1, $2 if the dart lands in slice 2, $5 if the dart lands in slice 3, and $8 if the
dart lands in slice 4. She loses $4 if the dart lands in slices 5, 6, 7, or 8.
(If necessary, consult a list of formulas.)
(a) Find the expected value of playing the game.
| dollars
(b) What can Rachel expect in the long run, after playing the game many times?
O Rachel can expect to gain money.
She can expect to win dollars per toss.
O Rachel can expect to lose money.
She can expect to lose dollars per toss.
Rachel can expect to break even (neither gain nor lose money).
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