COMPSCI C8 Lecture 15: Lecture 15, Chance
14 Mar 2018
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Lowest value: 0: chance of event is impossible. Highest value: 1 (or 100%: chance of event is certain. If an event has chance 70%, then the chance that it doesn"t happen is. Assuming all outcomes are equally likely, the chance of event a is: P(a) = number of outcomes that make a happen / total number of outcomes. Chance that two events a and b both happen. P(a happens) x p(b happens given that a has happened) The answer is less than or equal to each of the two chances being multiplied. The more conditions you have to satisfy, the less likely you are to satisfy them all. If event a can happen in exactly one of two ways, then. The answer is greater than or equal to the chance of each individual way. In 3 tosses: any outcome except ttt, p(ttt) = (1/2) * (1/2) * (1/2) = 1/8, p(t least one head) = 1 p(ttt) = 7/8.
