KINE 2050 Lecture Notes - Lecture 9: Conditional Probability

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Probability is expressed as a ratio: p(a) = #a/#o, probability of a occurring = # ways a can occur/ total # of outcomes. Note: ration will be between 0 and 1. 0 ( sum of all possible outcomes = 1. 0) Coin toss p (head) = # of ways heads can occur/ total # of outcomes. When probability of a given event is dependant or influenced by a previous event, it is called this. Ex. pulling aces out of a deck of 52 playing cards: p(a) = 4/52, no ace, draw again, second time= 4/51. If we get ace now: 3/50 on third time drawing: p(b/a) = # of ways b can occur given a occurred/ total # outcomes. Dependant events: occurrence of one alters the probability of occurrence of the other. Independent events: occurrence of ones does not alter the probability of occurrence of others.

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