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IB Maths AI 4.5 Definitions

This page contains our IB Maths AI definitions for 4.5. By learning each one of these definitions, you will fully cover the content for IB Maths AI 'Probability'.

complement

The event that AA does not happen, written as AA', with probability P(A)=1P(A)P\left(A'\right)=1-P\left(A\right).

conditional probability

The probability that one event happens given that another event has already happened, written as
P(AB)=P(AB)P(B)P(A \mid B) = \frac{P(A \cap B)}{P(B)} provided that P(B)0P(B) \neq 0.

event

A set of outcomes from the sample space.

exclusive

Describes events that cannot happen at the same time, so P(AB)=0P\left(A\cap B\right)=0 and P(AB)=P(A)+P(B)P\left(A\cup B\right)=P\left(A\right)+P\left(B\right).

independent probability

Describes events or random variables where knowing one outcome gives no information about the other; for Poisson variables this condition allows their totals to remain Poisson.

outcome

One possible result of a trial.

probability

Measures how likely an event is to happen, taking a value between 00 and 11, where 00 means impossible and 11 means certain.

sample

A set of 'nn' observed values taken from a population and used to compute statistics such as 'xˉ\bar{x}' and 'sn12s_{n-1}^2'.

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