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Basic ProbabilityEdexcel GCSE Maths: Flashcards

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What is the range of the probability scale?

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What is the range of the probability scale?
0 (impossible) to 1 (certain).
How do you calculate the probability of an event with equally likely outcomes?
P(event) = favourable outcomes ÷ total possible outcomes.
What is the probability of rolling a 6 on a fair die?
1/6.
How do you calculate the expected number of successes in n trials?
Expected number = probability × n.
In 60 rolls of a fair die, how many 6s would you expect?
(1/6) × 60 = 10.
What is relative frequency?
Number of times an event occurs ÷ total number of trials — an estimate of probability from an experiment.
How does sample size affect relative frequency?
Larger samples give relative frequencies that are closer to the true theoretical probability.
What do the probabilities of an exhaustive set of outcomes add up to?
If P(rain tomorrow) = 0.3, what is P(no rain tomorrow)?
1 − 0.3 = 0.7.
What does 'mutually exclusive events' mean?
Events that cannot both happen at the same time.
What is a two-way table used for?
Organising data or outcomes by two categories at once (rows and columns), to read off probabilities.
A coin is flipped 100 times, landing heads 47 times. What is the relative frequency of heads?
47/100 = 0.47.