 Scott A.

# What is the standard deviation of potential winnings in a casino session where a player makes 5957 bets on the number 17 for a total of 2,116,780$and turned a net profit of$67,520?

I am trying to figure out what the standard deviation with regards to winnings in $is, for the following Roulette session: The house edge in roulette is 5.26%, meaning we expect a player to lose$5.26 for every $100 wagered. If the player wagered a total of$2,116,780 we expect him to lose an estimated $111,342.6. In this case the session ended with the player being up$67,520. Can we determine the standard deviation of total gains/losses for a session of this sample size? And additionally, would anyone be able to compute the probability that the player ends up +\$67,520 for a session of the specified number of spins?

Probability of winning a number bet: 1/38

Probability of losing: 37/38

N (sample size) = 5957

Any help on this would be soooo appreciated!

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