Addition Rule of Probability and Expected Frequency

Learn how to add probabilities for mutually exclusive events using P(A or B) = P(A) + P(B). Letโ€™s get started! ๐Ÿš€

Addition Rule of Probability and Expected Frequency - introduction visual

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Explanation of equiprobable events by using a die and showing that each face has an equal probability of 1/6.Drawing coloured balls from a bag with 50 balls, showing 50% for blue and 30% for red.Probability of drawing a red or blue ball from 50 balls, with 25 blue, 15 red, and 10 yellow, equals 80%.Explanation of the probability of drawing blue or red balls from a bag with 50 balls using the addition rule for mutually exclusive events.Calculating the expected absolute frequency using a die, illustrating that the expected absolute frequency of rolling a '3' over 60 trials is 10.

๐Ÿ›Ž๏ธ What Are Equiprobable Events?

  • Equiprobable events are events with the same chance of happening.
  • When rolling a fair die, each number has an equal probability of 1/6.

๐Ÿ›Ž๏ธ Calculating Probability: Single Event

  • Probability equals number of favourable outcomes รท total outcomes.
  • For example, drawing a blue ball from 50 balls with 25 blue gives 25/50 = 50%.

๐Ÿ›Ž๏ธ Probability of โ€œORโ€ Events

  • Use OR when either event can happen.
  • Add the favourable outcomes for each event, then divide by the total outcomes.

๐Ÿ›Ž๏ธ Addition Rule for Probability

  • Mutually exclusive events cannot happen at the same time.
  • For example, a ball cannot be red and blue at the same time.
  • When events are mutually exclusive, use P(A or B) = P(A) + P(B).

๐Ÿ›Ž๏ธ Expected Absolute Frequency

  • Expected absolute frequency is how often an event is expected to happen.
  • It equals probability ร— number of trials.
  • It is an estimate, so what actually happens can vary.

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