(a) Find the expected value of playing the game. O dollars |(b) What can Jina expect in the long run, after playing the game many times? Jina can expect to gain money. She can expect to win I dollars per toss. O Jina can expect to lose money. She can expect to lose I dollars per toss. O Jina can expect to break even (neither gain nor lose money).

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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Jina 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: Jina 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 $2.50 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 Jina expect in the long run, after playing the game many times?
O Jina can expect to gain money.
She can expect to win | dollars per toss.
O Jina can expect to lose money.
She can expect to lose | dollars per toss.
O Jina can expect to break even (neither gain nor lose money).
Transcribed Image Text:Jina 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: Jina 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 $2.50 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 Jina expect in the long run, after playing the game many times? O Jina can expect to gain money. She can expect to win | dollars per toss. O Jina can expect to lose money. She can expect to lose | dollars per toss. O Jina can expect to break even (neither gain nor lose money).
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