GCSE Maths (AQA)

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Number Structure and calculation

Probability & Systematic Listing

6:12 Apply systematic listing strategies; including use of the product rule for counting
Spec N5 P3
Previous Product Rule for Counting Next Key Indices
  • 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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264

questions for Number

210

questions for Structure and calculation