GCSE Maths (AQA)

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Conditional Probability from Tables

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Probability Probability

Conditional Probability from Tables

5:14 Conditional Probability
Spec P9
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  • Conditional probabilities can be calculated from a two-way table by dividing by the total from the given event
  • Two-way tables can be used to calculate probabilities by dividing the frequency of a particular event by the total frequency
  • Two-way tables are useful for calculating conditional probabilities
  • The probability that someone owns a car given they own no house can be calculated using a two-way table
  • Totals may not always be given, so they may need to be found by adding up values in a row or column
  • A survey of 90 people at Mareport shows the number of people going to each continent and if they are on a package holiday
  • The probability of a randomly selected person going to Europe given they are on a package holiday can be calculated using the table
  • The total frequency for the given event is found by adding up the numbers in the first column of the table
  • The frequency for both events is found by looking at the specific intersection in the table
  • The conditional frequency is found by dividing the frequency of both events by the given event frequency
  • The relative frequency of a rugby team playing at their home stadium given that they did not lose can be calculated using a table
  • The total frequency for the given event is found by adding up the numbers in the first and third columns of the table
  • The frequency for both events is found by adding up the numbers in the specific intersections in the table
  • The conditional probability is found by dividing the frequency of both events by the given event frequency

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