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Intro to Probability

The essence of probability is explored, emphasizing its definition as a ratio, the significance of randomness, and basic strategies for solving probability problems.
  • Probability is fundamentally a ratio or fraction, representing the number of successes over the total number of outcomes, and must fall between 0 and 1.
  • A probability of 0 signifies impossibility, while a probability of 1 indicates certainty, with most real-world probabilities lying somewhere in between.
  • The concept of randomness in mathematics implies that while individual events are unpredictable, the overall pattern of events is predictable.
  • Making a list of all possible outcomes is an elementary strategy for solving simple probability problems, though more complex strategies are necessary for the GRE.
  • Understanding and calculating probability involves recognizing patterns and applying mathematical rules to predict the likelihood of events.
Introduction to Probability
Understanding Probability as a Ratio
The Concept of Randomness
Elementary Strategy: Making a List