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Example 1-3b Objective Find the probability of a simple event

Example 1-3b Vocabulary Outcome One possible result of a probability event

Example 1-3b Vocabulary Simple event One outcome or a collection of outcomes

Example 1-3b Vocabulary Probability The chance that some event will happen. A ratio Ways an event can occur Number of Possible Outcomes

Example 1-3b Vocabulary Random Outcomes occur at random if each outcome is equally likely to occur

Example 1-3b Vocabulary Complementary event The events of one outcome happening and that outcome not happening are complementary events. The sum of the probabilities of complementary events is 1

Lesson 1 Contents Example 1Find Probability Example 2Find Probability Example 3Find a Complementary Event

Example 1-1a If the spinner is spun once, what is the probability of it landing on an odd number? 1/3 Write probability statement Numerator is “odd numbers possible” Denominator is “total numbers possible” odd number

Example 1-1a If the spinner is spun once, what is the probability of it landing on an odd number? 1/3 Count how many “odd numbers” 1 and 3 are odd numbers Place 2 in the numerator

Example 1-1a If the spinner is spun once, what is the probability of it landing on an odd number? 1/3 Count how many “total numbers” are on the spinner There are 4 numbers on the spinner Place 4 in the denominator

Example 1-1a If the spinner is spun once, what is the probability of it landing on an odd number? 1/3 Find the GCF= 2 Divide GCF into numerator and denominator  2 Answer:

Example 1-1c What is the probability of rolling a number less than three on a number cube marked with 1, 2, 3, 4, 5, and 6 on its faces? Answer: P (number less than 3) = 1/3 NOTE: A number cube is a number dice

Example 1-2a The bookstore at the mall has 15 math books, 20 science books, 10 literature books and 5 history books for a give-away promotion. The clerk will select a book at random to give to each customer. What is the probability that the clerk will select a literature book? 2/3 Write probability statement probabilityliterature book P (literature book) = Numerator will be “number of literature books” number of literature books Denominator will be “total number of books” total number of books

Example 1-2a The bookstore at the mall has 15 math books, 20 science books, 10 literature books and 5 history books for a give-away promotion. The clerk will select a book at random to give to each customer. What is the probability that the clerk will select a literature book? 2/3 Replace literature books with 10 probabilityliterature book P (literature book) = number of literature books total number of books P (literature book) = 10 Count total number of books = 50 50

Example 1-2a The bookstore at the mall has 15 math books, 20 science books, 10 literature books and 5 history books for a give-away promotion. The clerk will select a book at random to give to each customer. What is the probability that the clerk will select a literature book? 2/3 probabilityliterature book P (literature book) = number of literature books total number of books P (literature book) = Find the GCF = 10 Divide GCF into numerator and denominator  10 P (literature book) = 1 5 Answer:

Example 1-2c GAMES A game requires rolling a number cube marked with 1, 2, 3, 4, 5, and 6 on its. If the roll is four or less, the player wins. What is the probability of winning the game? Answer: P (4 or less) = 2/3 2 3

Example 1-3a GAMES A game requires spinning the spinner. If the spin is 6 or greater, the player wins. What is the probability of not winning the game? P (5 or less) = 3/3 Write probability statement probability of not winning To win, must have 6 or greater So to lose, must have 5 or less

Example 1-3a GAMES A game requires spinning the spinner. If the spin is 6 or greater, the player wins. What is the probability of not winning the game? P (5 or less) = 3/3 Numerator is “numbers 5 or less” probability of not winning numbers 5 or less Denominator is “total number of numbers” total number of numbers

Example 1-3a GAMES A game requires spinning the spinner. If the spin is 6 or greater, the player wins. What is the probability of not winning the game? P (5 or less) = 3/3 probability of not winning numbers 5 or less total number of numbers Count numbers that are 5 or less P (5 or less) = 5 Count all the numbers 8

Example 1-3a GAMES A game requires spinning the spinner. If the spin is 6 or greater, the player wins. What is the probability of not winning the game? P (5 or less) = 3/3 probability of not winning numbers 5 or less total number of numbers P (5 or less) = 5 8 Find the GCF = 1 Answer: NOTE: This is a complementary event

Example 1-3b GAMES A game requires rolling a number cube marked with 1, 2, 3, 4, 5, and 6 on its faces. If the roll is two or less, the player wins. What is the probability of not winning the game? Answer: * P (not winning) = 3/3 2 3 NOTE: This is a complementary event

End of Lesson 1 Assignment Lesson 9:1Simple Events All