The probability of event $A$ happening is $50.7\%$. The probability of event $B$ happening is $49.3\%$. What is the probability that in a series of $100$ trials, there will be at least one point where more event $B$'s will have happened than event $A$'s?
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Are events A and B mutually exclusive? – Graham Kemp Apr 15 '14 at 14:29
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Do you mean that you have 100 trials and each trial either gives event A or event B, like a coin flip with a biased coin? – user2566092 Apr 15 '14 at 14:31
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Yes, events A and B are mutually exclusive. – Tom Ware Apr 17 '14 at 13:07
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Yes, there are 100 trials and each trial either gives event A or event B, like a coin flip with a biased coin. – Tom Ware Apr 17 '14 at 13:07
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Perhaps Bertrand's ballot theorem is relevant. – Peter Woolfitt Apr 19 '15 at 11:28