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**Algebra 1 Notes: Lesson 2-6, Part 1: Simple Probability and Odds**

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**Objectives Find the Probability and Odds of simple events**

Describe the difference between probability and odds Switch between probability and odds

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Vocabulary Probability

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**Vocabulary Probability**

Usually expressed as a fraction – CAN be a decimal or percent. ALWAYS between 0 and 1

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Probability The probability of an event can be expressed as: P(a) =

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Example 1 Find the probability of rolling a number greater than 2 on a die. P(greater than 2) =

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Example 1 Find the probability of rolling a number greater than 2 on a die. P(greater than 2) = About 67%

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Example 2 A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. Find each probability. a) P(black) =

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Example 2 A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. Find each probability. a) P(black) = =

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Example 2 A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. Find each probability. P(black) = = P(red or brown) =

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Example 2 A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. Find each probability. a) P(black) = = b) P(red or brown) = =

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Example 2 A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. Find each probability. a) P(black) = = b) P(red or brown) = = c) P(not blonde) =

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Example 2 A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. Find each probability. a) P(black) = = b) P(red or brown) = = c) P(not blonde) = =

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Example 2 A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. Find each probability. d) P(green) =

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Example 2 A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. Find each probability. d) P(green) = = 0 20

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Example 2 A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. Find each probability. d) P(green) = = 0 e) P(has hair) = 20

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Example 2 A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. Find each probability. d) P(green) = = 0 e) P(has hair) = = 1 20 20

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**Equally Likely 0 ½ 1 impossible equally likely certain**

0 ½ impossible equally likely certain to occur to occur to occur

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Vocabulary Odds

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**Favorable : Unfavorable**

Odds Favorable : Unfavorable

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**Example 3 Find the odds of rolling a number greater than two on a die.**

Numbers greater than two: 3, 4, 5, 6 Numbers not greater than two: 1, 2 Odds = 4:2

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**Example 3 Find the odds of rolling a number greater than two on a die.**

Numbers greater than two: 3, 4, 5, 6 Numbers not greater than two: 1, 2 Odds = 4:2 or 2:1

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Example 4 A card is selected from a standard deck of 52 cards. What are the odds against selecting a 2 or 3? Not a 2 or 3:

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Example 4 A card is selected from a standard deck of 52 cards. What are the odds against selecting a 2 or 3? Not a 2 or 3: 44 2 or 3:

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Example 4 A card is selected from a standard deck of 52 cards. What are the odds against selecting a 2 or 3? Not a 2 or 3: 44 2 or 3: 8 Odds = 44:8

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Example 4 A card is selected from a standard deck of 52 cards. What are the odds against selecting a 2 or 3? Not a 2 or 3: 44 2 or 3: 8 Odds = 44:8 or 11:2

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**Switch between probability and odds**

1)

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**Switch between probability and odds**

1) :

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**Switch between probability and odds**

1) 3 : 1 2) 5 : 3

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**Switch between probability and odds**

1) 3 : 1 2) 5 : 3 ⅝

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Homework Pgs. 99: Evens

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