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Assuming that the stock market is fair (i.e. the stock price is equally likely to go up or down at any time), what is the

Assuming that the stock market is fair (i.e. the stock price is equally likely to go up or down at any time), what is the expected probability that the seller of a GOOG $115 strike price at-the-money call option at a $5 call option premium will earn a profit if the position is held until the expiration date?

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