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## Rock, Paper, Scissors

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**Rock, Paper, Scissors**A Probability Experiment**Probability is a measurement of the chance or likelihood of**an event happening. The language of probability Words that we might use to describe probabilities include: 50-50 chance likely unlikely poor chance certain very likely possible impossible even chance probable**scissors**paper rock In the game rock, paper,scissors two players have to show either rock, paper or scissors using their hands as follows: Rock, paper, scissors The rules of the game are that: Scissors beats paper (it cuts). Paper beats rock (it wraps). Rock beats scissors (it breaks). If both players show the same hands it is a draw.**Second player**Scissors Paper Rock Scissors 1 3 First player 3 9 Paper Rock RR = SS PP What is the probability that both players will show the same hands in a game of rock, paper,scissors? We can list all the possible outcomes in a two-way table using R for Rock, P for Paper and S for Scissors. Rock, paper, scissors SP SR SS PS PP PR RS RP RR P(same hands) =**Second player**Scissors Paper Rock SP SR SS Scissors 3 1 PS PP PR First player 9 3 Paper RS RP RR Rock RS = SP PR What is the probability that the first player will win a game of rock, paper,scissors? Using the two-way table we can identify all the ways that the first player can win. Rock, paper, scissors P(first player wins) =**Second player**Scissors Paper Rock SP SR SS Scissors 3 1 PS PP PR First player 9 3 Paper RS RP RR Rock RP = SR PS What is the probability that the second player will win a game of rock,paper,scissors,? Using the two-way table we can identify all the ways that the second player can win. Rock, paper, scissors P(second player wins) =**P(first player wins) =**P(second player wins) = P(a draw) = 1 1 1 3 3 3 Is rock, paper, scissors a fair game? Rock, paper, scissors Both player are equally likely to win so, yes, it is a fair game. Play rock,paper,scissors 30 times with a partner. Record the number of wins for each player and the number of draws. Are the results as you expected?**The number 18 has been drawn the most often in the lottery**so I’m more likely to win if I choose it. I’ve just thrown four heads in a row so I’m much less likely to get a head on my next throw. There are two choices for lunch, pizza or pasta. That means that there is a 50% chance that the next person will choose pizza. I’m so unlucky. If I roll this dice I’ll never get a six. Statements involving probability are often incorrect or misleading. Discuss the following statements: Probability statements