Probability 2 (Edexcel GCSE Maths): Flashcards

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Probability 2
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Sum of all probabilities for possible outcomes

1

Complementary probability definition

Probability that something will NOT happen, given it WILL happen

Formula for complementary probability

P(doesn’t happen)=1P(happens)P(\text{doesn't happen}) = 1 - P(\text{happens})

PP(not rolling a 6 on fair dice)

116=561 - \frac{1}{6} = \frac{5}{6}

Method to find unknown probabilities using algebra

Set sum of all probabilities equal to 1, then solve

Definition of expectation in probability

How many times something is expected to happen over multiple trials

Formula for expected number of outcomes

Number of trials × Probability

Nature of expectation results

Theoretical average, not exact; actual results may vary slightly

Effect of more trials on expectation accuracy

More trials = closer actual results to expected value

Definition of a fair object in probability

Gives results close to what you'd expect

Definition of a biased object in probability

Gives results significantly different from expectation

Importance of sample size when testing for bias

Larger sample = more confidence about fairness/bias

First step in finding unknown probability with algebra

Write all probabilities and set sum equal to 1

Expected heads from 100 fair coin flips

100×0.5=50100 \times 0.5 = 50

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