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Counting and Probability

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Counting and Probability

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  1. 1Fundamental Principle of CountingWhen there are m ways to do one thing,
    and n ways to do another,
    then there are m×n ways of doing both.
    For example, if there are 3 colours and 3 sizes of t-shirt, then there are 9 combinations available.
  2. 2Sample SpaceThe set of all possible outcomes of an experiment. There are three types: list, tree diagram and two-way table
  3. 3Two-way tableA sample space for showing the combined outcomes of two independent events. For example a throw of a die and picking a card from a pack.
  4. 4Probability ScaleProbability Scale
  5. 5TrialAny particular performance of a random experiment, e.g. one roll of a die
  6. 6OutcomeA result of a trial
  7. 7EventOccurrence of one or more specified outcomes. If we are looking to land an even number on a die, rolling a 6 would be an example of an event
  8. 8Relative Frequency = Experimental ProbabilityAn estimate of the probability of an event occurring based on outcomes of trials already carried outRelative Frequency = Experimental Probability
  9. 9Fair = UnbiasedIf all outcomes are equally likely to occur then the trial or experiment is considered to be fair or unbiased. For example, a fair die should land on heads around 50% of the time
  10. 10Theoretical Probability = ProbabilityProbability of an event happening found by dividing the number of desirable outcomes by the total number of possible outcomes. E.g. Probability of rolling a 3 on a fair die is 1/6 as there is one favourable outcome and six possible outcomes
  11. 11Expected FrequencyEstimate of how many times we'd expect an event to happen over a set number of trials
    Expected Frequency = (no of trials) x (relative frequency or probability)
  12. 12Tree DiagramUsed to write down all possible combinations for two or more trials. Example below is for flipping a coin two timesTree Diagram

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El usuario ha eliminado su información de asignaturas Fichas sobre Counting and Probability, creado por Usuario eliminado el 28/03/2019.
Creado por
Usuario eliminado · mar 2019
Actualizado
28 mar 2019
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56
Historial
  • Creado por Culan O'Meara · 29 sep 2014
  • Copiado por Evan Barton · 28 mar 2019
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