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Chapter15

# Chapter15 - Chapter 15 Probability RULES Review For any...

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Chapter 15 Probability RULES!!!

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Review For any random phenomenon, each trial generates an outcome. An event is any set or collection of outcomes. The collection of all possible outcomes is called the sample space, and denoted as S.
Example Pull a bill from your wallet, pocket, or purse without looking at it. An outcome is the bill you select. The sample space is all the bills in circulation: S = {\$1, \$2, \$5, \$10, \$20, \$50, \$100}. We can combine possible outcomes of such a trial into events.

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Example of Events Event A = {\$1, \$5, \$10} Event B = {A bill that does not have a president on it} = {\$10, \$100} Event C = {Enough money to pay for a \$12 meal with one bill} = {\$20, \$50, \$100} Do note that the bills are not equally likely. Students are more likely to carry \$1 than \$100.
Probability of an Event with Equally Likely Outcomes If an event, A, is made up of equally likely outcomes, then outcomes possible all of count A in outcomes of count P(A) =

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General Addition Rule Let’s assume that we have one of each bill hence making the outcomes equally likely. What’s the probability of randomly selecting A = {A bill with an odd-numbered value} or B = {A bill with a building on the reverse}?
(cont.) A = {\$1, \$5} P(A) = 2/7 B = {\$5, \$10, \$20, \$50, \$100} P(B) = 5/7 Since we are trying to find P(A or B), then that’s equal to the P(A) + P(B) = 2/7 + 5/7 = 1. Is this correct?

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