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Probability
Recognize and apply probability symbols. The probability of event A is denoted as P(A), the probability of not A as P(A′), the probability of both A and B occurring as P(A ∩ B), and the probability of either A or B occurring as P(A ∪ B).
7
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70
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49
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90 min
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CambridgeIGCSEStatisticsProbability
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Probability outcomes7 objectives
- Recognize and apply probability symbols. The probability of event A is denoted as P(A), the probability of not A as P(A′), the probability of both A and B occurring as P(A ∩ B), and the probability of either A or B occurring as P(A ∪ B).
- Compute probabilities in straightforward scenarios, including selections made with or without replacement. Probabilities may be expressed as fractions, decimals, or percentages, and knowledge of permutations and combinations is not necessary.
- Determine the probability of an event not occurring using the formula P(A′) = 1 - P(A), based on the probability of the event occurring.
- Understand and apply the addition rule for probabilities, which states that P(A ∪ B) = P(A) + P(B) - P(A ∩ B).
- Comprehend the concept of mutually exclusive events, applying the rule P(A ∪ B) = P(A) + P(B) for such events, and understand the rules for independent events, using P(A ∩ B) = P(A) × P(B).
- Calculate conditional probabilities in basic situations, using the formula P(A | B) = P(A ∩ B)/P(B), though the formula itself is not required knowledge.
- Utilize tree diagrams to illustrate combined events and assist in calculating the probabilities of these events.
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