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).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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).
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