GCSE Maths (Edexcel)
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Probability & Systematic Listing
- Systematic listing can be used to list all potential outcomes for combinations of random actions
- In the example of tossing two coins, systematic listing can be used to determine the different potential outcomes
- Systematic listing can be helpful for probability problems that require listing outcomes
- The probability of getting 2 heads or 2 tails when tossing two coins is 1/4
- The probability of getting 1 head and 1 tail when tossing two coins is 1/2
- The example of Darryl and Simone playing a game involves systematically listing possible scores
- Darryl needs to beat Simone's score of 132
- There are 6 total possible scores and 4 potential winning scores for Darryl
- The probability of Darryl winning the game is 2/3 or 0.666 recurring or 66.6%
- Another example involves systematically listing possible combinations of marbles
- The probability of Lucia drawing at least one red marble is 5/9 or 0.556 or 55.6%
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