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August 16, 2010 Simple Probability

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Warm-up Suppose most of your clothes are dirty and you are left with 3 pants and 8 shirts. How many choices do you have or how many different ways can you dress? You go to a restaurant to get some breakfast. The menu says pancakes, crepes, & waffles; for the sides, you can choose from eggs, bacon, and sausage; and to drink, they serve coffee, juice, hot chocolate, and tea. How many different ways can you order breakfast choosing one from each category?

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Warm-up Suppose most of your clothes are dirty and you are left with 3 pants and 8 shirts. How many choices do you have or how many different ways can you dress? 3 x 8 = 24 You go to a restaurant to get some breakfast. The menu says pancakes, crepes, & waffles; for the sides, you can choose from eggs, bacon, and sausage; and to drink, they serve coffee, juice, hot chocolate, and tea. How many different ways can you order breakfast choosing one from each category?

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Warm-up Suppose most of your clothes are dirty and you are left with 3 pants and 8 shirts. How many choices do you have or how many different ways can you dress? 3 x 8 = 24 You go a restaurant to get some breakfast. The menu says pancakes, crepes, & waffles; for the sides, you can choose from eggs, bacon, and sausage; and to drink, they serve coffee, juice, hot chocolate, and tea. How many different ways can you order breakfast choosing one from each category? 3 x 3 x 4 = 36

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Simple Probability

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probability of an event or P(event) is number of favorable outcomes total number of possible outcomes Simple Probability

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probability of an event or P(event) is number of favorable outcomes total number of possible outcomes Example 1: Sarah rolls two 6-sided numbered cubes. What is the probability that the two numbers added together will equal 5? Simple Probability

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probability of an event or P(event) is number of favorable outcomes total number of possible outcomes Example 1: Sarah rolls two 6-sided numbered cubes. What is the probability that the two numbers added together will equal 5? 4/36 = 1/9 Simple Probability

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probability of an event or P(event) is number of favorable outcomes total number of possible outcomes Example 1: Sarah rolls two 6-sided numbered cubes. What is the probability that the two numbers added together will equal 5? 4/36 = 1/9 Simple Probability Example 2: What is the probability of drawing a king from a deck of cards?

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probability of an event or P(event) is number of favorable outcomes total number of possible outcomes Example 1: Sarah rolls two 6-sided numbered cubes. What is the probability that the two numbers added together will equal 5? 4/36 = 1/9 Simple Probability Example 2: What is the probability of drawing a king from a deck of cards? 4/52 or 1/13

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probability of an event or P(event) is number of favorable outcomes total number of possible outcomes Example 1: Sarah rolls two 6-sided numbered cubes. What is the probability that the two numbers added together will equal 5? 4/36 = 1/9 Simple Probability Example 2: What is the probability of drawing a king from a deck of cards? 4/52 or 1/13 Example 3: What is the probability of drawing a queen of hearts from a deck of cards?

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probability of an event or P(event) is number of favorable outcomes total number of possible outcomes Example 1: Sarah rolls two 6-sided numbered cubes. What is the probability that the two numbers added together will equal 5? 4/36 = 1/9 Simple Probability Example 2: What is the probability of drawing a king from a deck of cards? 4/52 or 1/13 Example 3: What is the probability of drawing a queen of hearts from a deck of cards? 1/52

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“OR” P(A or B) = P(A) + P(B) Example: When you flip a fair coin and roll a number cube, what is the P(head or 4)? P(head or 4) = ½ + 1/6 = 3/6 + 1/6 = 4/6 = 2/3

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Example: Alfred is going to the Lakeshore Animal Shelter to pick a new pet. Today, the shelter has 8 dogs, 7 cats, and 5 rabbits available for adoption. If Alfred randomly picks an animal to adopt, what is the probability that the animal would be a cat or a dog? 8/20 + 7/20 = 15/20 = 3/4

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“And” P(A and B) = P(A) x P(B) Example: When you flip a fair coin and roll a number cube, what is the P(head and 4)? P(head, 4) = ½ x 1/6 = 1/12

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Practice 1.P(heads, hearts) = 13/104 2.P(tails, four) = 4/104

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Practice 1.P(roll even #, spin odd) = 1/4 2. P(roll a 2, spin a 7) = 1/48 3. P(roll a 7, spin an even #) = 0

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Warm Up Find the theoretical probability of each outcome

Warm Up Find the theoretical probability of each outcome

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