The casino game of roulette features 38 colored and numbered pockets on a spinning wheel with a total of 18 red, 18 black, and 2 green pockets. A $1 bet on black wins $1 if the ball falls on black and loses $1 otherwise (i.e., if the ball falls on a red or green pocket). You spin the roulette wheel 10 times, betting on black each time. Use the central limit theorem to find and approximation to the probability that your total winnings after 10 bets are greater than zero.

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...
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The casino game of roulette features 38 colored and numbered pockets on a spinning
wheel with a total of 18 red, 18 black, and 2 green pockets. A $1 bet on black wins $1
if the ball falls on black and loses $1 otherwise (i.e., if the ball falls on a red or green
pocket). You spin the roulette wheel 10 times, betting on black each time.
Use the central limit theorem to find and approximation to the probability that your
total winnings after 10 bets are greater than zero.
Please express your answer in percentage
Transcribed Image Text:The casino game of roulette features 38 colored and numbered pockets on a spinning wheel with a total of 18 red, 18 black, and 2 green pockets. A $1 bet on black wins $1 if the ball falls on black and loses $1 otherwise (i.e., if the ball falls on a red or green pocket). You spin the roulette wheel 10 times, betting on black each time. Use the central limit theorem to find and approximation to the probability that your total winnings after 10 bets are greater than zero. Please express your answer in percentage
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