Warm Up You have 16 coins in your pocket. If half are pennies, how many pennies do you have? If a fourth are nickels, how many nickels do you have?

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Presentation transcript:

Warm Up You have 16 coins in your pocket. If half are pennies, how many pennies do you have? If a fourth are nickels, how many nickels do you have?

Unit 6 Probability and Statistics

EQ: When would you use multiplication to count possibilities? 6.1 Intro to Probability EQ: When would you use multiplication to count possibilities?

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Oregon Ducks Options: 24 helmets, 51 jerseys, 20 pants, and 32 cleats.

ASU Sundevils Options: 15 helmets, 45 jerseys, 16 pants, and 16 cleats.

When order matters How many ways can you arrange 8 shirts on hangers in the closet?

When order matters With 10 runners, how many ways can we have the 10 runners finish first, second and third? (with no ties)

Permutations n! 𝑛−𝑟 !

Combinations n! 𝑟! 𝑛−𝑟 !

When order doesn’t matter A salad bar offers 8 different toppings. In how many ways can you choose four toppings?

Exit Ticket Choose whether to use a combination or permutation A chemistry teacher divides his class into eight groups. Each group submits one drawing of the molecular structure of water. a.) He will select four of the drawings to display. In how many different ways can he select the drawings? b.) How many ways are possible for the teacher to select and arrange the four drawings from left to right on the wall?

Warm Up How many different nine-player batting orders can be chosen from a baseball team of 16?

EQ: When would you use theoretical over experimental probability?

Experimental Probability 𝑃 𝑒𝑣𝑒𝑛𝑡 = 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑖𝑚𝑒𝑠 𝑡ℎ𝑒 𝑒𝑣𝑒𝑛𝑡 𝑜𝑐𝑐𝑢𝑟𝑠 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑟𝑖𝑎𝑙𝑠

Experimental Probability A softball player got a hit in 20 of her last 50 times at bat. What is the experimental probability that she will get a hit in her next at bat?

Experimental Probability What is the experimental probability a quarterback will complete his next pass if he has completed 30 of his last 40 passes?

Theoretical Probability 𝑃 𝑒𝑣𝑒𝑛𝑡 𝐴 = 𝐸𝑣𝑒𝑛𝑡 𝐴 𝑜𝑐𝑐𝑢𝑟𝑠 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑜𝑡𝑎𝑙 𝑒𝑞𝑢𝑎𝑙𝑙𝑦 𝑙𝑖𝑘𝑒𝑙𝑦 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠

Theoretical Probability The theoretical probability of being dealt all four Aces in a 5 card hand of poker? (in a 52 card deck)

Theoretical Probability The theoretical probability of being dealt a 20 count in a game of blackjack

Geometric Probability A batter’s strike zone is 15-in by 20-in. Their hgh-inside strike zone is 3-in by 5-in. What is the probability that a baseball is thrown at random within the strike zone will be a high-inside strike?

Exit Ticket A lottery has 53 numbers from which five are drawn at random. Each number can only be drawn once. What is the probability of your lottery ticket matching all five numbers in any order?