GCSE Maths (AQA)

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Independent Probabilities

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Probability Probability

Independent Probabilities

7:29 Independent Events
Spec P8
Previous Independent & Dependent Events Next Two-Way Outcome Tables
  • The probability of two independent events both happening is equal to the product of the probabilities of the individual events happening.
  • The formula for calculating the probability of both events happening is PA and B = PA * PB.
  • The formula is only true when A and B are independent events.
  • The probability of both events occurring can be found by multiplying the individual probabilities together.
  • When there are potential duplicate outcomes, the probability needs to be adjusted accordingly.
  • In an example with an aeroplane, the probability of the plane crashing during a flight is calculated by multiplying the probabilities of the individual faults occurring.
  • In another example with a game show, the probability of being assigned the letters M and A is calculated by multiplying the probabilities of each letter being assigned.

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