If you're willing to assume independence, multiplication is the way to go:
Pr( a beats b & a beats c) = Pr( a beats b ) * Pr( a beats c ) If you're not willing to assume independence, things can get very weird: http://en.wikipedia.org/wiki/Arrow's_impossibility_theorem -- View this message in context: http://r.789695.n4.nabble.com/How-to-work-out-3-way-probabilities-tp2067034p2068457.html Sent from the R help mailing list archive at Nabble.com. ______________________________________________ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.