Outcomes, events and equally likely outcomes, the probability of an event as favourable over total, the range from 0 to 1, impossible and sure events, and the complement.
3 lessons, about 1 h 25 min3 simulations10 problems5 practice questionsPython in every lesson
Created by StemPy LabAn experiment is an action whose result cannot be known in advance, such as rolling a die. Each possible result is an outcome, and an event is a set of outcomes. Outcomes are equally likely when none has a better chance than another. A fair die gives six equally likely outcomes; an unequal spinner does not.
When all the outcomes are equally likely, the probability of an event E is the number of favourable outcomes divided by the total number of outcomes. It always lies between 0 and 1. An impossible event has probability 0 and a sure event has probability 1. The probabilities of the elementary events add up to 1.
The complement of an event E is the event not E: E does not happen. Every outcome favours exactly one of the two, so P(E) + P(not E) = 1 and P(not E) = 1 − P(E). It is often quicker to find the chance that something does not happen and take it away from 1.
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