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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
Question
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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