So in case you are wondering why we played Rock, Paper, Scissors we were dealing with a chapter on Probability. We played 45 games to see what the outcomes of the game were. I was partnered with Jayme. We found that I won 17 times, Jayme won 16 times and we tied 12 times. That makes our probabilities as follows. The probability of me winning, which is written P(Bridgett wins) = 17/45. The P(Jayme wins)=16/45 and the P(tie)=12/45.
We also explored the difference between experimental probabilities and theoretical probabilities. Experimental probabilities are the actual experiment of us playing the game. The theoretical probabilities only focus on what outcomes could possibly happen. The two, for the most part, should be pretty similar but sometimes the experimental probabilities can be vastly different. This is because humans are playing the game and try to use a strategy to outwit their opponent. The theoretical probability states that I should have one 1/3 of the time, Jayme should have one 1/3 of the time and we should have tied 1/3 of the time. Making our numbers of wins and ties all being 15. Since ours were pretty close, we concluded that Rock, Paper, Scissors is a fair game because everyone had a pretty equal chance of winning.
