MATH 10041 Lecture Notes - Lecture 12: Sample Space
27 Feb 2019
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Sample space and events for equally likely outcomes: samples space, the set of all possible equally likely outcomes of an experiment, event, any collection of outcomes in the sample space. Probability notation: events are usually represented with uppercase letters: a,b,c, etc, example: toss a coin. Let a represent the event the coin lands on heads : p(a)= or . 50 or 50% The complement of an event: a^c: the complement refers to the event not occurring. The complement of event a is written a^c: example: toss a coin. A = coin lands on heads, a^c = coin does not land on heads: example: toss one die. A^c = number is odd: together, an even and its complement = the entire sample space. The probability of an event and its complement: rule 2: p(a does not occur)= 1-p(a does not occur. In symbols, p(a^c)=1-p(a: examples: let event a represent the event the candidate wins an election.
