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Ms. Garcia Math |
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Probability |
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is the chance that an event will happen. |
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The easiest way to get the probability of a condition is to list all possible outcomes, and count the ones that fit the condition. |
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Tree diagrams |
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A tree diagram represents a sequence of events, showing all possible outcomes |
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From the tree diagram, we could count all of the possible outcomes. The set of possible outcomes is: HH, HT, TH and TT # possible outcomes = 4 |
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Working out probabilies by counting |
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Once you have listed all possible outcomes, then you can work out the probabilities quite easily, counting the ones that fit the condition. |
Example: What is the probability of flipping a coin 2 times and it coming up "heads" both times? |
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Answer: # of favorable outcomes = 1, # of possible outcomes = 4, P(HH) = 1/4 |
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Counting Principle |
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if one event has m possible outcomes and a second independent event has n possible outcomes, then there are m x n total possible outcomes for the two events together. |
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Flip a coin and roll a die |
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There are 2 ways that you can flip a coin and 6 ways that you can roll a die. There are then 2x6=12 ways that you can flip a coin and roll a die. |
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