Mutually Exclusive and Independent Events

  • Probability theory requires understanding of mutually exclusive and independent events for accurate problem solving.
  • Mutually exclusive events can’t occur at the same time; when one happens, the other can’t.
  • The probability of mutually exclusive events occurring can be found by adding their individual probabilities.
  • Independent events are occurrences that don’t influence each another.
  • The probability of independent events occurring together is found by multiplying their respective probabilities.
  • It’s crucial to identify whether events are mutually exclusive, independent, or neither in probability problems to apply correct calculations and find the right probabilities.