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Probability
November 13, 2014
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SAT Fill-In Question
•How many positive factors does the number 120 have?
•120 = 2·2·2·3·5 = 23·31·51 •A factor must have 2s and/or
3s and/or 5s, so let’s draw blanks.
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One-Minute Question
•How many positive factors does the number 120 have?
•120 = 2·2·2·3·5 = 23·31·51
For 2s For 3s For 5s
4 2 2= 16
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What’s the probability?
•How many people are in this class?
• If I choose one of you randomly to answer the next question, what’s the probability that I choose you?
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What’s the probability?
that if I toss 3 coins, exactly one of them will land “heads up”?
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What’s the probability?
•That if we roll 2 dice, the sum of the dice will be greater than 6?
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Probability
•A trial is a systematic opportunity for an event to occur.
•An experiment is one or more
trials.
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Probability
•The Sample Space is the set of all possible outcomes of an event.
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Probability
•The probability of an event E, which is a subset of a finite sample space S of equally likely outcomes, is p(E) = .
E
S
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Probability
•In simpler terms, probability is the number of ways you get what you want, divided by the number of ways events could happen.
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A candy jar contains 6 peppermint, 4 spearmint, 3
butterscotch and 2 cinnamon candies.
• If I select one of these candies at random, what is the probability that I get a spearmint?
• N(Sample Space) = 15 candies• N(Success) = 4• Probability = 4/15
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A candy jar contains 2 spearmint and 2 cinnamon
candies.• If I select two of these candies at random,
what is the probability that I get both spearmints?
• Sample Space = {S1S2, S1C1, S1C2, S2C1, S2C2 C1 C2 }
• N(Success) = 1 (The SS)• Probability = 1/6
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If I toss a dart at the target below, what is the
probability that I get 20 points?
10
20
30
Radii are 2 inches, 6 inches and 10 inches.