Question

1. List all of the likely outcomes in a game of rock-paper-scissors. 10 matches 2. What is the probability (in fraction format) that someone will use a 'paper' move? 3. What is the probability (in fraction format) that someone will use a 'rock' move? 4. What is the probability (in fraction format) that you will win a game of rock-paper-scissors playing against one person? 5. With a partner, play 10 games of rock-paper-scissors and record each win as a tally mark. Player 1 Player 2 6. Write your 'wins' as a fraction. 7. Was the actual outcome different to the probability of winning?​

Answer 1

1. In a game of rock-paper-scissors, the likely outcomes are: rock beats scissors, scissors beats paper, and paper beats rock.

2. The probability of someone using a 'paper' move in rock-paper-scissors is 1/3 or 1 out of 3.

3. The probability of someone using a 'rock' move in rock-paper-scissors is also 1/3 or 1 out of 3.

4. In a fair game of rock-paper-scissors, the probability of winning against one person is 1/2 or 1 out of 2. This assumes that each player has an equal chance of choosing rock, paper, or scissors.

5. Here is an example of recording 10 games of rock-paper-scissors:

Player 1: Wins (W) - L - W - L - W - W - L - L - W - L

Player 2: L - W - L - W - L - L - W - W - L - W

6. Player 1's wins can be written as a fraction: 4/10 or 2/5.

7. To determine if the actual outcome was different from the probability of winning, we need to compare the fraction of wins (2/5) to the expected probability of winning (1/2). In this case, the actual outcome of 2/5 is different from the expected probability of 1/2.

Explanation: