Participants in an archery game pay $10 for a chance to shoot an arrow at a target placed 70 yards away. The following table shows how much a participant can win depending on where the arrow lands on the target with a given probability. What is the expected profit for the participant in this game? (Select the most accurate option from below). Arrow lands at the center of target Arrow lands within one foot away from the center Arrow lands between one to two feet away from the center Arrow misses the target altogether An expected profit of $60 An expected profit of $2.5 An expected profit of $8 An expected profit of $12 Correct answer is not listed An expected profit of $3 An expected profit of $9.5 An expected profit of $4.5 Probability 0.02 0.1 0.3 0.58 Participant wins $100 $50 $20 $0

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Participants in an archery game pay $10 for a chance to shoot an arrow at a target placed
70
yards away. The following table shows how much a participant can win depending on where
the arrow lands on the target with a given probability. What is the expected profit for the
participant in this game? (Select the most accurate option from below).
Arrow lands at the center of target
Arrow lands within one foot away from the center
Arrow lands between one to two feet away from the
center
Arrow misses the target altogether
An expected profit of $60
An expected profit of $2.5
An expected profit of
$8
O An expected profit of $12
Correct answer is not listed
An expected profit of $3
An expected profit of $9.5
An expected profit of $4.5
Probability
0.02
0.1
0.3
0.58
Participant
wins
$100
$50
$20
$0
Transcribed Image Text:Participants in an archery game pay $10 for a chance to shoot an arrow at a target placed 70 yards away. The following table shows how much a participant can win depending on where the arrow lands on the target with a given probability. What is the expected profit for the participant in this game? (Select the most accurate option from below). Arrow lands at the center of target Arrow lands within one foot away from the center Arrow lands between one to two feet away from the center Arrow misses the target altogether An expected profit of $60 An expected profit of $2.5 An expected profit of $8 O An expected profit of $12 Correct answer is not listed An expected profit of $3 An expected profit of $9.5 An expected profit of $4.5 Probability 0.02 0.1 0.3 0.58 Participant wins $100 $50 $20 $0
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