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Calculating Probabilities Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Probability of an event
The likelihood of an event occurring, expressed as a fraction, decimal, or percentage.
Probability formula
Probability = Number of favourable outcomes / Total number of possible outcomes.
Certain event
An event with a probability of 1 (it is guaranteed to happen).
Impossible event
An event with a probability of 0 (it cannot happen).
Mutually exclusive events
Events that cannot happen at the same time. P(A or B) = P(A) + P(B).
Complementary events
Two events where the sum of their probabilities is 1. P(A') = 1 - P(A).
Tree diagram
A diagram used to show all possible outcomes of an event and their probabilities.
Independent events
Events where the outcome of one does not affect the outcome of the other. P(A and B) = P(A) × P(B).
Relative frequency
An estimate of probability based on experiments: Relative frequency = Number of successful outcomes / Total number of trials.
Expected frequency
The number of times an event is expected to occur: Expected frequency = Probability × Number of trials.

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