1. There are 15 purple marbles, 4 orange marbles, and 1 blue marble in a bag. A game is played by drawing 2 marbles from the bag, where the first is replaced before the second is drawn. If a purple marble then an orange marble is drawn, the player wins a prize worth $5.00. If an orange marble then a blue marble is drawn, the player wins a prize worth $20.00. If any other combination occurs, the player must pay $3.00. What is the expected loss or gain if the game is played 10 times? The expected gain after 10 games is $15.70. The expected gain after 10 games is $34.70. The expected loss after 10 games is $15.70. The expected loss after 10 games is $34.70.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. There are 15 purple marbles, 4 orange marbles, and 1 blue
marble in a bag. A game is played by drawing 2 marbles
from the bag, where the first is replaced before the second
is drawn. If a purple marble then an orange marble is
drawn, the player wins a prize worth $5.00. If an orange
marble then a blue marble is drawn, the player wins a prize
worth $20.00. If any other combination occurs, the player
must pay $3.00. What is the expected loss or gain if the
game is played 10 times?
The expected gain after 10 games is $15.70.
The expected gain after 10 games is $34.70.
The expected loss after 10 games is $15.70.
The expected loss after 10 games is $34.70.
Transcribed Image Text:1. There are 15 purple marbles, 4 orange marbles, and 1 blue marble in a bag. A game is played by drawing 2 marbles from the bag, where the first is replaced before the second is drawn. If a purple marble then an orange marble is drawn, the player wins a prize worth $5.00. If an orange marble then a blue marble is drawn, the player wins a prize worth $20.00. If any other combination occurs, the player must pay $3.00. What is the expected loss or gain if the game is played 10 times? The expected gain after 10 games is $15.70. The expected gain after 10 games is $34.70. The expected loss after 10 games is $15.70. The expected loss after 10 games is $34.70.
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