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September 20, 2012 Probability Rules!! Event: a collection of possible outcomes from some chance process. Example: What are all of the possible outcomes from tossing a coin three times? HHH HHT HTH THH TTH THT HTT TTT The probability of any event is a number between _____ and _____ All possible outcome together must have a probability equal to _____ The probability that an event does not occur is _________________________________ September 20, 2012 If two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities. P(A) + P(B) = P(C) Example: Tossing a coin three times... Let event A = getting 2 heads and 1 tail Let event B = getting 3 heads What's the probability of getting more heads than tails? Answer: 1 2 Why is this true?? September 20, 2012 If all outcomes in the sample are equally likely, the probability that event A occurs can be found by: number of outcomes corresponding to event A P(A) = ___________________________ total number of outcomes in sample space September 20, 2012 Activity 7.2 The Monte Hall Problem - Let's Make a Deal!!