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Study notes on probability, specifically on sample space, the basic probability law, range of probabilities, and complementary events. It explains that the sample space is the set of all possible outcomes of an experiment, and the basic probability law is P(E) = n(E)/n(S), where P(E) is the probability of an event, n(E) is the number of favourable outcomes, and n(S) is the total number of possible outcomes in the sample space. The document also covers the range of probabilities (0 ≤ P(E) ≤ 1) and complementary events (P(E) + P(not E) = 1).
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The sample space of an experiment is the set of all possible outcomes of that experiment.
n ( E ) n ( S ) where P(E) = probability of an event n(E) = number of favourable outcomes n(S) = total number of possible outcomes in the sample space
If an event is CERTAIN to occur, then its probability is 1. If an event is IMPOSSIBLE, then its probability is 0. 0 ≤ P(E) ≤ 1
The probability of all outcomes in the sample space must add up to 1. Therefore the probability of ‘an event not occurring is equal to ‘1 – probability of the event occurring’ P ( E __ ) = 1 − P ( E ) where P ( E __ ) (^) is the probability of the event not occurring