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Addition Rule definitions

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  • Probability
    A numerical measure expressing the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain).
  • Event
    A specific outcome or set of outcomes from a random experiment, such as rolling a die or flipping a coin.
  • Mutually Exclusive
    A relationship between events where they cannot occur simultaneously; their overlap is always zero.
  • Non-Mutually Exclusive
    A relationship between events where simultaneous occurrence is possible, resulting in an overlap region.
  • Overlap
    The region in a diagram representing outcomes shared by two events, counted in both unless subtracted.
  • Circle Diagram
    A visual tool using circles to illustrate relationships between events, highlighting exclusivity and overlap.
  • Set Notation
    A symbolic system using U for 'or' and ∩ for 'and' to represent event relationships in probability.
  • Or Probability
    The chance that at least one of two events occurs, calculated by combining their individual probabilities.
  • And Probability
    The likelihood that two events occur together, represented by the overlap in diagrams and set notation.
  • Formula
    A mathematical expression used to calculate probabilities, such as P(A or B) = P(A) + P(B) - P(A and B).
  • Outcome
    A possible result from a random experiment, like rolling a specific number on a die.
  • Simplified Fraction
    A reduced form of a probability ratio, making calculations and comparisons easier.
  • Decimal
    A numerical representation of probability, often used for clarity and comparison.
  • Uncertainty
    The inherent unpredictability in random experiments, addressed through probability calculations.
  • Statistical Analysis
    A process involving probability concepts to interpret data and make informed decisions.